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Finding the Fourth Proportional to 663.76, 915.80 and 431.04

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Solution

The fourth proportional to 663.76, 915.80 and 431.04 is: 594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 915.80 = 431.04 : x
  2. Step 2: Convert to fraction form
    663.76/915.80 = 431.04/x
  3. Step 3: Cross multiply
    663.76x = 915.80 × 431.04
  4. Step 4: Simplify right side
    663.76x = 394,746.43
  5. Step 5: Solve for x
    x = 394,746.43/663.76
  6. Step 6: Final answer
    x = 594.71

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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.