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Finding the Fourth Proportional to 663.62, 915.84 and 383.94

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Solution

The fourth proportional to 663.62, 915.84 and 383.94 is: 529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.62 : 915.84 = 383.94 : x
  2. Step 2: Convert to fraction form
    663.62/915.84 = 383.94/x
  3. Step 3: Cross multiply
    663.62x = 915.84 × 383.94
  4. Step 4: Simplify right side
    663.62x = 351,627.61
  5. Step 5: Solve for x
    x = 351,627.61/663.62
  6. Step 6: Final answer
    x = 529.86

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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.