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Finding the Fourth Proportional to 652.57, 979.20 and 287.61

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Solution

The fourth proportional to 652.57, 979.20 and 287.61 is: 431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.57 : 979.20 = 287.61 : x
  2. Step 2: Convert to fraction form
    652.57/979.20 = 287.61/x
  3. Step 3: Cross multiply
    652.57x = 979.20 × 287.61
  4. Step 4: Simplify right side
    652.57x = 281,626.27
  5. Step 5: Solve for x
    x = 281,626.27/652.57
  6. Step 6: Final answer
    x = 431.57

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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.