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Finding the Fourth Proportional to 942.11, 1,412.76 and 292.90

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Solution

The fourth proportional to 942.11, 1,412.76 and 292.90 is: 439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.11 : 1,412.76 = 292.90 : x
  2. Step 2: Convert to fraction form
    942.11/1,412.76 = 292.90/x
  3. Step 3: Cross multiply
    942.11x = 1,412.76 × 292.90
  4. Step 4: Simplify right side
    942.11x = 413,794.97
  5. Step 5: Solve for x
    x = 413,794.97/942.11
  6. Step 6: Final answer
    x = 439.22

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Why These Related Problems?

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