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Finding the Fourth Proportional to 593.68, 814.04 and 538.24

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Solution

The fourth proportional to 593.68, 814.04 and 538.24 is: 738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.68 : 814.04 = 538.24 : x
  2. Step 2: Convert to fraction form
    593.68/814.04 = 538.24/x
  3. Step 3: Cross multiply
    593.68x = 814.04 × 538.24
  4. Step 4: Simplify right side
    593.68x = 438,148.89
  5. Step 5: Solve for x
    x = 438,148.89/593.68
  6. Step 6: Final answer
    x = 738.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.