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Finding the Fourth Proportional to 663.84, 915.52 and 532.80

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Solution

The fourth proportional to 663.84, 915.52 and 532.80 is: 734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 915.52 = 532.80 : x
  2. Step 2: Convert to fraction form
    663.84/915.52 = 532.80/x
  3. Step 3: Cross multiply
    663.84x = 915.52 × 532.80
  4. Step 4: Simplify right side
    663.84x = 487,789.06
  5. Step 5: Solve for x
    x = 487,789.06/663.84
  6. Step 6: Final answer
    x = 734.80

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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.