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Finding the Fourth Proportional to 549.25, 824.39 and 256.97

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Solution

The fourth proportional to 549.25, 824.39 and 256.97 is: 385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 824.39 = 256.97 : x
  2. Step 2: Convert to fraction form
    549.25/824.39 = 256.97/x
  3. Step 3: Cross multiply
    549.25x = 824.39 × 256.97
  4. Step 4: Simplify right side
    549.25x = 211,840.02
  5. Step 5: Solve for x
    x = 211,840.02/549.25
  6. Step 6: Final answer
    x = 385.69

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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.