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Finding the Fourth Proportional to 564.14, 846.02 and 235.06

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Solution

The fourth proportional to 564.14, 846.02 and 235.06 is: 352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 846.02 = 235.06 : x
  2. Step 2: Convert to fraction form
    564.14/846.02 = 235.06/x
  3. Step 3: Cross multiply
    564.14x = 846.02 × 235.06
  4. Step 4: Simplify right side
    564.14x = 198,865.46
  5. Step 5: Solve for x
    x = 198,865.46/564.14
  6. Step 6: Final answer
    x = 352.51

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.