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Finding the Fourth Proportional to 868.47, 1,302.72 and 219.21

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Solution

The fourth proportional to 868.47, 1,302.72 and 219.21 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.47 : 1,302.72 = 219.21 : x
  2. Step 2: Convert to fraction form
    868.47/1,302.72 = 219.21/x
  3. Step 3: Cross multiply
    868.47x = 1,302.72 × 219.21
  4. Step 4: Simplify right side
    868.47x = 285,569.25
  5. Step 5: Solve for x
    x = 285,569.25/868.47
  6. Step 6: Final answer
    x = 328.82

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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.