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Finding the Fourth Proportional to 663.70, 915.61 and 401.66

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Solution

The fourth proportional to 663.70, 915.61 and 401.66 is: 554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.70 : 915.61 = 401.66 : x
  2. Step 2: Convert to fraction form
    663.70/915.61 = 401.66/x
  3. Step 3: Cross multiply
    663.70x = 915.61 × 401.66
  4. Step 4: Simplify right side
    663.70x = 367,761.90
  5. Step 5: Solve for x
    x = 367,761.90/663.70
  6. Step 6: Final answer
    x = 554.11

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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.