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Finding the Fourth Proportional to 579.20, 867.68 and 549.76

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Solution

The fourth proportional to 579.20, 867.68 and 549.76 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 867.68 = 549.76 : x
  2. Step 2: Convert to fraction form
    579.20/867.68 = 549.76/x
  3. Step 3: Cross multiply
    579.20x = 867.68 × 549.76
  4. Step 4: Simplify right side
    579.20x = 477,015.76
  5. Step 5: Solve for x
    x = 477,015.76/579.20
  6. Step 6: Final answer
    x = 823.58

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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.