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Finding the Fourth Proportional to 593.55, 817.92 and 462.33

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Solution

The fourth proportional to 593.55, 817.92 and 462.33 is: 637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.55 : 817.92 = 462.33 : x
  2. Step 2: Convert to fraction form
    593.55/817.92 = 462.33/x
  3. Step 3: Cross multiply
    593.55x = 817.92 × 462.33
  4. Step 4: Simplify right side
    593.55x = 378,148.95
  5. Step 5: Solve for x
    x = 378,148.95/593.55
  6. Step 6: Final answer
    x = 637.10

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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.