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Finding the Fourth Proportional to 579.60, 864.72 and 547.20

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Solution

The fourth proportional to 579.60, 864.72 and 547.20 is: 816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 864.72 = 547.20 : x
  2. Step 2: Convert to fraction form
    579.60/864.72 = 547.20/x
  3. Step 3: Cross multiply
    579.60x = 864.72 × 547.20
  4. Step 4: Simplify right side
    579.60x = 473,174.78
  5. Step 5: Solve for x
    x = 473,174.78/579.60
  6. Step 6: Final answer
    x = 816.38

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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.