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Finding the Fourth Proportional to 942.57, 1,414.11 and 284.49

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Solution

The fourth proportional to 942.57, 1,414.11 and 284.49 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.57 : 1,414.11 = 284.49 : x
  2. Step 2: Convert to fraction form
    942.57/1,414.11 = 284.49/x
  3. Step 3: Cross multiply
    942.57x = 1,414.11 × 284.49
  4. Step 4: Simplify right side
    942.57x = 402,300.15
  5. Step 5: Solve for x
    x = 402,300.15/942.57
  6. Step 6: Final answer
    x = 426.81

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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.