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Finding the Fourth Proportional to 549.25, 757.97 and 316.38

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Solution

The fourth proportional to 549.25, 757.97 and 316.38 is: 436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 757.97 = 316.38 : x
  2. Step 2: Convert to fraction form
    549.25/757.97 = 316.38/x
  3. Step 3: Cross multiply
    549.25x = 757.97 × 316.38
  4. Step 4: Simplify right side
    549.25x = 239,801.18
  5. Step 5: Solve for x
    x = 239,801.18/549.25
  6. Step 6: Final answer
    x = 436.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.