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Finding the Fourth Proportional to 292.70, 439.07 and 87.28

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Solution

The fourth proportional to 292.70, 439.07 and 87.28 is: 130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.70 : 439.07 = 87.28 : x
  2. Step 2: Convert to fraction form
    292.70/439.07 = 87.28/x
  3. Step 3: Cross multiply
    292.70x = 439.07 × 87.28
  4. Step 4: Simplify right side
    292.70x = 38,320.50
  5. Step 5: Solve for x
    x = 38,320.50/292.70
  6. Step 6: Final answer
    x = 130.92

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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.