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Finding the Fourth Proportional to 580.28, 869.04 and 458.16

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Solution

The fourth proportional to 580.28, 869.04 and 458.16 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.28 : 869.04 = 458.16 : x
  2. Step 2: Convert to fraction form
    580.28/869.04 = 458.16/x
  3. Step 3: Cross multiply
    580.28x = 869.04 × 458.16
  4. Step 4: Simplify right side
    580.28x = 398,159.37
  5. Step 5: Solve for x
    x = 398,159.37/580.28
  6. Step 6: Final answer
    x = 686.16

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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.