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Finding the Fourth Proportional to 593.16, 819.01 and 461.94

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Solution

The fourth proportional to 593.16, 819.01 and 461.94 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.16 : 819.01 = 461.94 : x
  2. Step 2: Convert to fraction form
    593.16/819.01 = 461.94/x
  3. Step 3: Cross multiply
    593.16x = 819.01 × 461.94
  4. Step 4: Simplify right side
    593.16x = 378,330.99
  5. Step 5: Solve for x
    x = 378,330.99/593.16
  6. Step 6: Final answer
    x = 637.83

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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.