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Finding the Fourth Proportional to 868.62, 1,302.96 and 283.71

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Solution

The fourth proportional to 868.62, 1,302.96 and 283.71 is: 425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.62 : 1,302.96 = 283.71 : x
  2. Step 2: Convert to fraction form
    868.62/1,302.96 = 283.71/x
  3. Step 3: Cross multiply
    868.62x = 1,302.96 × 283.71
  4. Step 4: Simplify right side
    868.62x = 369,662.78
  5. Step 5: Solve for x
    x = 369,662.78/868.62
  6. Step 6: Final answer
    x = 425.57

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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.