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Finding the Fourth Proportional to 652.24, 978.01 and 286.61

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Solution

The fourth proportional to 652.24, 978.01 and 286.61 is: 429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 978.01 = 286.61 : x
  2. Step 2: Convert to fraction form
    652.24/978.01 = 286.61/x
  3. Step 3: Cross multiply
    652.24x = 978.01 × 286.61
  4. Step 4: Simplify right side
    652.24x = 280,302.56
  5. Step 5: Solve for x
    x = 280,302.56/652.24
  6. Step 6: Final answer
    x = 429.75

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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.