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Finding the Fourth Proportional to 868.10, 1,302.61 and 457.28

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Solution

The fourth proportional to 868.10, 1,302.61 and 457.28 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.10 : 1,302.61 = 457.28 : x
  2. Step 2: Convert to fraction form
    868.10/1,302.61 = 457.28/x
  3. Step 3: Cross multiply
    868.10x = 1,302.61 × 457.28
  4. Step 4: Simplify right side
    868.10x = 595,649.84
  5. Step 5: Solve for x
    x = 595,649.84/868.10
  6. Step 6: Final answer
    x = 686.15

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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.