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Finding the Fourth Proportional to 475.92, 716.81 and 442.12

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Solution

The fourth proportional to 475.92, 716.81 and 442.12 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 716.81 = 442.12 : x
  2. Step 2: Convert to fraction form
    475.92/716.81 = 442.12/x
  3. Step 3: Cross multiply
    475.92x = 716.81 × 442.12
  4. Step 4: Simplify right side
    475.92x = 316,916.04
  5. Step 5: Solve for x
    x = 316,916.04/475.92
  6. Step 6: Final answer
    x = 665.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.