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Finding the Fourth Proportional to 549.32, 758.06 and 352.83

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Solution

The fourth proportional to 549.32, 758.06 and 352.83 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 758.06 = 352.83 : x
  2. Step 2: Convert to fraction form
    549.32/758.06 = 352.83/x
  3. Step 3: Cross multiply
    549.32x = 758.06 × 352.83
  4. Step 4: Simplify right side
    549.32x = 267,464.55
  5. Step 5: Solve for x
    x = 267,464.55/549.32
  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.