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Finding the Fourth Proportional to 292.85, 404.28 and 229.72

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Solution

The fourth proportional to 292.85, 404.28 and 229.72 is: 317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.85 : 404.28 = 229.72 : x
  2. Step 2: Convert to fraction form
    292.85/404.28 = 229.72/x
  3. Step 3: Cross multiply
    292.85x = 404.28 × 229.72
  4. Step 4: Simplify right side
    292.85x = 92,871.20
  5. Step 5: Solve for x
    x = 92,871.20/292.85
  6. Step 6: Final answer
    x = 317.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.