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Finding the Fourth Proportional to 292.11, 402.68 and 284.43

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Solution

The fourth proportional to 292.11, 402.68 and 284.43 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.11 : 402.68 = 284.43 : x
  2. Step 2: Convert to fraction form
    292.11/402.68 = 284.43/x
  3. Step 3: Cross multiply
    292.11x = 402.68 × 284.43
  4. Step 4: Simplify right side
    292.11x = 114,532.97
  5. Step 5: Solve for x
    x = 114,532.97/292.11
  6. Step 6: Final answer
    x = 392.10

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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.