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Finding the Fourth Proportional to 652.70, 979.34 and 287.60

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Solution

The fourth proportional to 652.70, 979.34 and 287.60 is: 431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.70 : 979.34 = 287.60 : x
  2. Step 2: Convert to fraction form
    652.70/979.34 = 287.60/x
  3. Step 3: Cross multiply
    652.70x = 979.34 × 287.60
  4. Step 4: Simplify right side
    652.70x = 281,651.85
  5. Step 5: Solve for x
    x = 281,651.85/652.70
  6. Step 6: Final answer
    x = 431.52

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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.