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Finding the Fourth Proportional to 549.75, 824.04 and 256.91

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Solution

The fourth proportional to 549.75, 824.04 and 256.91 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 824.04 = 256.91 : x
  2. Step 2: Convert to fraction form
    549.75/824.04 = 256.91/x
  3. Step 3: Cross multiply
    549.75x = 824.04 × 256.91
  4. Step 4: Simplify right side
    549.75x = 211,704.12
  5. Step 5: Solve for x
    x = 211,704.12/549.75
  6. Step 6: Final answer
    x = 385.10

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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.