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Finding the Fourth Proportional to 675.92, 932.07 and 476.92

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Solution

The fourth proportional to 675.92, 932.07 and 476.92 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 932.07 = 476.92 : x
  2. Step 2: Convert to fraction form
    675.92/932.07 = 476.92/x
  3. Step 3: Cross multiply
    675.92x = 932.07 × 476.92
  4. Step 4: Simplify right side
    675.92x = 444,522.82
  5. Step 5: Solve for x
    x = 444,522.82/675.92
  6. Step 6: Final answer
    x = 657.66

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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.