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Finding the Fourth Proportional to 868.59, 1,302.90 and 291.48

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Solution

The fourth proportional to 868.59, 1,302.90 and 291.48 is: 437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.59 : 1,302.90 = 291.48 : x
  2. Step 2: Convert to fraction form
    868.59/1,302.90 = 291.48/x
  3. Step 3: Cross multiply
    868.59x = 1,302.90 × 291.48
  4. Step 4: Simplify right side
    868.59x = 379,769.29
  5. Step 5: Solve for x
    x = 379,769.29/868.59
  6. Step 6: Final answer
    x = 437.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.