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Finding the Fourth Proportional to 549.44, 758.20 and 339.70

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Solution

The fourth proportional to 549.44, 758.20 and 339.70 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.44 : 758.20 = 339.70 : x
  2. Step 2: Convert to fraction form
    549.44/758.20 = 339.70/x
  3. Step 3: Cross multiply
    549.44x = 758.20 × 339.70
  4. Step 4: Simplify right side
    549.44x = 257,560.54
  5. Step 5: Solve for x
    x = 257,560.54/549.44
  6. Step 6: Final answer
    x = 468.77

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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.