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Finding the Fourth Proportional to 652.61, 978.92 and 219.77

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Solution

The fourth proportional to 652.61, 978.92 and 219.77 is: 329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 978.92 = 219.77 : x
  2. Step 2: Convert to fraction form
    652.61/978.92 = 219.77/x
  3. Step 3: Cross multiply
    652.61x = 978.92 × 219.77
  4. Step 4: Simplify right side
    652.61x = 215,137.25
  5. Step 5: Solve for x
    x = 215,137.25/652.61
  6. Step 6: Final answer
    x = 329.66

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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.