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Finding the Fourth Proportional to 549.85, 824.97 and 257.51

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Solution

The fourth proportional to 549.85, 824.97 and 257.51 is: 386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.85 : 824.97 = 257.51 : x
  2. Step 2: Convert to fraction form
    549.85/824.97 = 257.51/x
  3. Step 3: Cross multiply
    549.85x = 824.97 × 257.51
  4. Step 4: Simplify right side
    549.85x = 212,438.02
  5. Step 5: Solve for x
    x = 212,438.02/549.85
  6. Step 6: Final answer
    x = 386.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.