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Finding the Fourth Proportional to 557.56, 832.25 and 517.52

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Solution

The fourth proportional to 557.56, 832.25 and 517.52 is: 772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.56 : 832.25 = 517.52 : x
  2. Step 2: Convert to fraction form
    557.56/832.25 = 517.52/x
  3. Step 3: Cross multiply
    557.56x = 832.25 × 517.52
  4. Step 4: Simplify right side
    557.56x = 430,706.02
  5. Step 5: Solve for x
    x = 430,706.02/557.56
  6. Step 6: Final answer
    x = 772.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.