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Finding the Fourth Proportional to 652.34, 978.51 and 219.47

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Solution

The fourth proportional to 652.34, 978.51 and 219.47 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.34 : 978.51 = 219.47 : x
  2. Step 2: Convert to fraction form
    652.34/978.51 = 219.47/x
  3. Step 3: Cross multiply
    652.34x = 978.51 × 219.47
  4. Step 4: Simplify right side
    652.34x = 214,753.59
  5. Step 5: Solve for x
    x = 214,753.59/652.34
  6. Step 6: Final answer
    x = 329.21

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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.