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Finding the Fourth Proportional to 579.71, 867.84 and 502.76

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Solution

The fourth proportional to 579.71, 867.84 and 502.76 is: 752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 867.84 = 502.76 : x
  2. Step 2: Convert to fraction form
    579.71/867.84 = 502.76/x
  3. Step 3: Cross multiply
    579.71x = 867.84 × 502.76
  4. Step 4: Simplify right side
    579.71x = 436,315.24
  5. Step 5: Solve for x
    x = 436,315.24/579.71
  6. Step 6: Final answer
    x = 752.64

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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.