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Finding the Fourth Proportional to 579.28, 864.92 and 524.56

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Solution

The fourth proportional to 579.28, 864.92 and 524.56 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.28 : 864.92 = 524.56 : x
  2. Step 2: Convert to fraction form
    579.28/864.92 = 524.56/x
  3. Step 3: Cross multiply
    579.28x = 864.92 × 524.56
  4. Step 4: Simplify right side
    579.28x = 453,702.44
  5. Step 5: Solve for x
    x = 453,702.44/579.28
  6. Step 6: Final answer
    x = 783.22

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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.