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Finding the Fourth Proportional to 593.52, 819.24 and 506.16

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Solution

The fourth proportional to 593.52, 819.24 and 506.16 is: 698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 819.24 = 506.16 : x
  2. Step 2: Convert to fraction form
    593.52/819.24 = 506.16/x
  3. Step 3: Cross multiply
    593.52x = 819.24 × 506.16
  4. Step 4: Simplify right side
    593.52x = 414,666.52
  5. Step 5: Solve for x
    x = 414,666.52/593.52
  6. Step 6: Final answer
    x = 698.66

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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.