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Finding the Fourth Proportional to 564.16, 778.56 and 538.24

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Solution

The fourth proportional to 564.16, 778.56 and 538.24 is: 742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.16 : 778.56 = 538.24 : x
  2. Step 2: Convert to fraction form
    564.16/778.56 = 538.24/x
  3. Step 3: Cross multiply
    564.16x = 778.56 × 538.24
  4. Step 4: Simplify right side
    564.16x = 419,052.13
  5. Step 5: Solve for x
    x = 419,052.13/564.16
  6. Step 6: Final answer
    x = 742.79

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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.