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Finding the Fourth Proportional to 294.62, 444.52 and 292.20

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Solution

The fourth proportional to 294.62, 444.52 and 292.20 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.62 : 444.52 = 292.20 : x
  2. Step 2: Convert to fraction form
    294.62/444.52 = 292.20/x
  3. Step 3: Cross multiply
    294.62x = 444.52 × 292.20
  4. Step 4: Simplify right side
    294.62x = 129,888.74
  5. Step 5: Solve for x
    x = 129,888.74/294.62
  6. Step 6: Final answer
    x = 440.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.