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Finding the Fourth Proportional to 652.75, 978.24 and 287.14

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Solution

The fourth proportional to 652.75, 978.24 and 287.14 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.75 : 978.24 = 287.14 : x
  2. Step 2: Convert to fraction form
    652.75/978.24 = 287.14/x
  3. Step 3: Cross multiply
    652.75x = 978.24 × 287.14
  4. Step 4: Simplify right side
    652.75x = 280,891.83
  5. Step 5: Solve for x
    x = 280,891.83/652.75
  6. Step 6: Final answer
    x = 430.32

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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.