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Finding the Fourth Proportional to 593.13, 817.69 and 461.91

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Solution

The fourth proportional to 593.13, 817.69 and 461.91 is: 636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.13 : 817.69 = 461.91 : x
  2. Step 2: Convert to fraction form
    593.13/817.69 = 461.91/x
  3. Step 3: Cross multiply
    593.13x = 817.69 × 461.91
  4. Step 4: Simplify right side
    593.13x = 377,699.19
  5. Step 5: Solve for x
    x = 377,699.19/593.13
  6. Step 6: Final answer
    x = 636.79

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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.