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Finding the Fourth Proportional to 593.81, 819.24 and 372.68

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Solution

The fourth proportional to 593.81, 819.24 and 372.68 is: 514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.81 : 819.24 = 372.68 : x
  2. Step 2: Convert to fraction form
    593.81/819.24 = 372.68/x
  3. Step 3: Cross multiply
    593.81x = 819.24 × 372.68
  4. Step 4: Simplify right side
    593.81x = 305,314.36
  5. Step 5: Solve for x
    x = 305,314.36/593.81
  6. Step 6: Final answer
    x = 514.16

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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.