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Finding the Fourth Proportional to 549.26, 824.16 and 256.78

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Solution

The fourth proportional to 549.26, 824.16 and 256.78 is: 385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.26 : 824.16 = 256.78 : x
  2. Step 2: Convert to fraction form
    549.26/824.16 = 256.78/x
  3. Step 3: Cross multiply
    549.26x = 824.16 × 256.78
  4. Step 4: Simplify right side
    549.26x = 211,628.06
  5. Step 5: Solve for x
    x = 211,628.06/549.26
  6. Step 6: Final answer
    x = 385.30

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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.