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Finding the Fourth Proportional to 549.94, 824.45 and 257.29

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Solution

The fourth proportional to 549.94, 824.45 and 257.29 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.94 : 824.45 = 257.29 : x
  2. Step 2: Convert to fraction form
    549.94/824.45 = 257.29/x
  3. Step 3: Cross multiply
    549.94x = 824.45 × 257.29
  4. Step 4: Simplify right side
    549.94x = 212,122.72
  5. Step 5: Solve for x
    x = 212,122.72/549.94
  6. Step 6: Final answer
    x = 385.72

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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.