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Finding the Fourth Proportional to 663.52, 915.82 and 453.78

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Solution

The fourth proportional to 663.52, 915.82 and 453.78 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.52 : 915.82 = 453.78 : x
  2. Step 2: Convert to fraction form
    663.52/915.82 = 453.78/x
  3. Step 3: Cross multiply
    663.52x = 915.82 × 453.78
  4. Step 4: Simplify right side
    663.52x = 415,580.80
  5. Step 5: Solve for x
    x = 415,580.80/663.52
  6. Step 6: Final answer
    x = 626.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.