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Finding the Fourth Proportional to 549.76, 759.10 and 411.46

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Solution

The fourth proportional to 549.76, 759.10 and 411.46 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 759.10 = 411.46 : x
  2. Step 2: Convert to fraction form
    549.76/759.10 = 411.46/x
  3. Step 3: Cross multiply
    549.76x = 759.10 × 411.46
  4. Step 4: Simplify right side
    549.76x = 312,339.29
  5. Step 5: Solve for x
    x = 312,339.29/549.76
  6. Step 6: Final answer
    x = 568.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.