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Finding the Fourth Proportional to 598.67, 826.11 and 362.60

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Solution

The fourth proportional to 598.67, 826.11 and 362.60 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.67 : 826.11 = 362.60 : x
  2. Step 2: Convert to fraction form
    598.67/826.11 = 362.60/x
  3. Step 3: Cross multiply
    598.67x = 826.11 × 362.60
  4. Step 4: Simplify right side
    598.67x = 299,543.36
  5. Step 5: Solve for x
    x = 299,543.36/598.67
  6. Step 6: Final answer
    x = 500.35

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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.