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Finding the Fourth Proportional to 594.59, 821.49 and 462.31

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Solution

The fourth proportional to 594.59, 821.49 and 462.31 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.59 : 821.49 = 462.31 : x
  2. Step 2: Convert to fraction form
    594.59/821.49 = 462.31/x
  3. Step 3: Cross multiply
    594.59x = 821.49 × 462.31
  4. Step 4: Simplify right side
    594.59x = 379,781.86
  5. Step 5: Solve for x
    x = 379,781.86/594.59
  6. Step 6: Final answer
    x = 638.73

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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.