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Finding the Fourth Proportional to 549.18, 757.70 and 342.18

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Solution

The fourth proportional to 549.18, 757.70 and 342.18 is: 472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 757.70 = 342.18 : x
  2. Step 2: Convert to fraction form
    549.18/757.70 = 342.18/x
  3. Step 3: Cross multiply
    549.18x = 757.70 × 342.18
  4. Step 4: Simplify right side
    549.18x = 259,269.79
  5. Step 5: Solve for x
    x = 259,269.79/549.18
  6. Step 6: Final answer
    x = 472.10

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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.