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Finding the Fourth Proportional to 549.60, 758.17 and 352.96

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Solution

The fourth proportional to 549.60, 758.17 and 352.96 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.60 : 758.17 = 352.96 : x
  2. Step 2: Convert to fraction form
    549.60/758.17 = 352.96/x
  3. Step 3: Cross multiply
    549.60x = 758.17 × 352.96
  4. Step 4: Simplify right side
    549.60x = 267,603.68
  5. Step 5: Solve for x
    x = 267,603.68/549.60
  6. Step 6: Final answer
    x = 486.91

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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.