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Finding the Fourth Proportional to 549.62, 824.57 and 510.41

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Solution

The fourth proportional to 549.62, 824.57 and 510.41 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.62 : 824.57 = 510.41 : x
  2. Step 2: Convert to fraction form
    549.62/824.57 = 510.41/x
  3. Step 3: Cross multiply
    549.62x = 824.57 × 510.41
  4. Step 4: Simplify right side
    549.62x = 420,868.77
  5. Step 5: Solve for x
    x = 420,868.77/549.62
  6. Step 6: Final answer
    x = 765.75

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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.