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Finding the Fourth Proportional to 663.08, 915.30 and 476.84

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Solution

The fourth proportional to 663.08, 915.30 and 476.84 is: 658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 915.30 = 476.84 : x
  2. Step 2: Convert to fraction form
    663.08/915.30 = 476.84/x
  3. Step 3: Cross multiply
    663.08x = 915.30 × 476.84
  4. Step 4: Simplify right side
    663.08x = 436,451.65
  5. Step 5: Solve for x
    x = 436,451.65/663.08
  6. Step 6: Final answer
    x = 658.22

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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.