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Finding the Fourth Proportional to 549.18, 757.83 and 313.14

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Solution

The fourth proportional to 549.18, 757.83 and 313.14 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 757.83 = 313.14 : x
  2. Step 2: Convert to fraction form
    549.18/757.83 = 313.14/x
  3. Step 3: Cross multiply
    549.18x = 757.83 × 313.14
  4. Step 4: Simplify right side
    549.18x = 237,306.89
  5. Step 5: Solve for x
    x = 237,306.89/549.18
  6. Step 6: Final answer
    x = 432.11

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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.