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Finding the Fourth Proportional to 549.53, 823.59 and 411.50

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Solution

The fourth proportional to 549.53, 823.59 and 411.50 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.53 : 823.59 = 411.50 : x
  2. Step 2: Convert to fraction form
    549.53/823.59 = 411.50/x
  3. Step 3: Cross multiply
    549.53x = 823.59 × 411.50
  4. Step 4: Simplify right side
    549.53x = 338,903.17
  5. Step 5: Solve for x
    x = 338,903.17/549.53
  6. Step 6: Final answer
    x = 616.71

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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.