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Finding the Fourth Proportional to 296.32, 444.52 and 269.40

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Solution

The fourth proportional to 296.32, 444.52 and 269.40 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 444.52 = 269.40 : x
  2. Step 2: Convert to fraction form
    296.32/444.52 = 269.40/x
  3. Step 3: Cross multiply
    296.32x = 444.52 × 269.40
  4. Step 4: Simplify right side
    296.32x = 119,753.69
  5. Step 5: Solve for x
    x = 119,753.69/296.32
  6. Step 6: Final answer
    x = 404.14

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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.