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Finding the Fourth Proportional to 549.18, 757.67 and 339.29

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Solution

The fourth proportional to 549.18, 757.67 and 339.29 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 757.67 = 339.29 : x
  2. Step 2: Convert to fraction form
    549.18/757.67 = 339.29/x
  3. Step 3: Cross multiply
    549.18x = 757.67 × 339.29
  4. Step 4: Simplify right side
    549.18x = 257,069.12
  5. Step 5: Solve for x
    x = 257,069.12/549.18
  6. Step 6: Final answer
    x = 468.10

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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.