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Finding the Fourth Proportional to 652.87, 978.99 and 282.61

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Solution

The fourth proportional to 652.87, 978.99 and 282.61 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.87 : 978.99 = 282.61 : x
  2. Step 2: Convert to fraction form
    652.87/978.99 = 282.61/x
  3. Step 3: Cross multiply
    652.87x = 978.99 × 282.61
  4. Step 4: Simplify right side
    652.87x = 276,672.36
  5. Step 5: Solve for x
    x = 276,672.36/652.87
  6. Step 6: Final answer
    x = 423.78

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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.