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Finding the Fourth Proportional to 598.56, 826.10 and 450.96

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Solution

The fourth proportional to 598.56, 826.10 and 450.96 is: 622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 826.10 = 450.96 : x
  2. Step 2: Convert to fraction form
    598.56/826.10 = 450.96/x
  3. Step 3: Cross multiply
    598.56x = 826.10 × 450.96
  4. Step 4: Simplify right side
    598.56x = 372,538.06
  5. Step 5: Solve for x
    x = 372,538.06/598.56
  6. Step 6: Final answer
    x = 622.39

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.