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Finding the Fourth Proportional to 579.24, 867.42 and 458.16

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Solution

The fourth proportional to 579.24, 867.42 and 458.16 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.24 : 867.42 = 458.16 : x
  2. Step 2: Convert to fraction form
    579.24/867.42 = 458.16/x
  3. Step 3: Cross multiply
    579.24x = 867.42 × 458.16
  4. Step 4: Simplify right side
    579.24x = 397,417.15
  5. Step 5: Solve for x
    x = 397,417.15/579.24
  6. Step 6: Final answer
    x = 686.10

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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.