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Finding the Fourth Proportional to 868.60, 1,302.46 and 291.40

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Solution

The fourth proportional to 868.60, 1,302.46 and 291.40 is: 436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.60 : 1,302.46 = 291.40 : x
  2. Step 2: Convert to fraction form
    868.60/1,302.46 = 291.40/x
  3. Step 3: Cross multiply
    868.60x = 1,302.46 × 291.40
  4. Step 4: Simplify right side
    868.60x = 379,536.84
  5. Step 5: Solve for x
    x = 379,536.84/868.60
  6. Step 6: Final answer
    x = 436.95

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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.