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Finding the Fourth Proportional to 402.27, 602.83 and 292.11

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Solution

The fourth proportional to 402.27, 602.83 and 292.11 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.27 : 602.83 = 292.11 : x
  2. Step 2: Convert to fraction form
    402.27/602.83 = 292.11/x
  3. Step 3: Cross multiply
    402.27x = 602.83 × 292.11
  4. Step 4: Simplify right side
    402.27x = 176,093.29
  5. Step 5: Solve for x
    x = 176,093.29/402.27
  6. Step 6: Final answer
    x = 437.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.