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Finding the Fourth Proportional to 579.18, 864.42 and 500.75

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Solution

The fourth proportional to 579.18, 864.42 and 500.75 is: 747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.18 : 864.42 = 500.75 : x
  2. Step 2: Convert to fraction form
    579.18/864.42 = 500.75/x
  3. Step 3: Cross multiply
    579.18x = 864.42 × 500.75
  4. Step 4: Simplify right side
    579.18x = 432,853.99
  5. Step 5: Solve for x
    x = 432,853.99/579.18
  6. Step 6: Final answer
    x = 747.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.