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Finding the Fourth Proportional to 593.74, 818.55 and 462.94

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Solution

The fourth proportional to 593.74, 818.55 and 462.94 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.74 : 818.55 = 462.94 : x
  2. Step 2: Convert to fraction form
    593.74/818.55 = 462.94/x
  3. Step 3: Cross multiply
    593.74x = 818.55 × 462.94
  4. Step 4: Simplify right side
    593.74x = 378,939.54
  5. Step 5: Solve for x
    x = 378,939.54/593.74
  6. Step 6: Final answer
    x = 638.22

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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.