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Finding the Fourth Proportional to 663.19, 915.32 and 397.65

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Solution

The fourth proportional to 663.19, 915.32 and 397.65 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 915.32 = 397.65 : x
  2. Step 2: Convert to fraction form
    663.19/915.32 = 397.65/x
  3. Step 3: Cross multiply
    663.19x = 915.32 × 397.65
  4. Step 4: Simplify right side
    663.19x = 363,977.00
  5. Step 5: Solve for x
    x = 363,977.00/663.19
  6. Step 6: Final answer
    x = 548.83

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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.