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Finding the Fourth Proportional to 294.94, 444.51 and 292.42

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Solution

The fourth proportional to 294.94, 444.51 and 292.42 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 444.51 = 292.42 : x
  2. Step 2: Convert to fraction form
    294.94/444.51 = 292.42/x
  3. Step 3: Cross multiply
    294.94x = 444.51 × 292.42
  4. Step 4: Simplify right side
    294.94x = 129,982.15
  5. Step 5: Solve for x
    x = 129,982.15/294.94
  6. Step 6: Final answer
    x = 440.71

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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.