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Finding the Fourth Proportional to 945.46, 1,418.20 and 296.18

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Solution

The fourth proportional to 945.46, 1,418.20 and 296.18 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.46 : 1,418.20 = 296.18 : x
  2. Step 2: Convert to fraction form
    945.46/1,418.20 = 296.18/x
  3. Step 3: Cross multiply
    945.46x = 1,418.20 × 296.18
  4. Step 4: Simplify right side
    945.46x = 420,042.48
  5. Step 5: Solve for x
    x = 420,042.48/945.46
  6. Step 6: Final answer
    x = 444.27

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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.