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Finding the Fourth Proportional to 549.82, 824.72 and 257.22

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Solution

The fourth proportional to 549.82, 824.72 and 257.22 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.82 : 824.72 = 257.22 : x
  2. Step 2: Convert to fraction form
    549.82/824.72 = 257.22/x
  3. Step 3: Cross multiply
    549.82x = 824.72 × 257.22
  4. Step 4: Simplify right side
    549.82x = 212,129.07
  5. Step 5: Solve for x
    x = 212,129.07/549.82
  6. Step 6: Final answer
    x = 385.82

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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.