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Finding the Fourth Proportional to 663.27, 915.35 and 442.35

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Solution

The fourth proportional to 663.27, 915.35 and 442.35 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.27 : 915.35 = 442.35 : x
  2. Step 2: Convert to fraction form
    663.27/915.35 = 442.35/x
  3. Step 3: Cross multiply
    663.27x = 915.35 × 442.35
  4. Step 4: Simplify right side
    663.27x = 404,902.86
  5. Step 5: Solve for x
    x = 404,902.86/663.27
  6. Step 6: Final answer
    x = 610.46

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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.