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Finding the Fourth Proportional to 549.92, 758.90 and 340.09

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Solution

The fourth proportional to 549.92, 758.90 and 340.09 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 758.90 = 340.09 : x
  2. Step 2: Convert to fraction form
    549.92/758.90 = 340.09/x
  3. Step 3: Cross multiply
    549.92x = 758.90 × 340.09
  4. Step 4: Simplify right side
    549.92x = 258,093.95
  5. Step 5: Solve for x
    x = 258,093.95/549.92
  6. Step 6: Final answer
    x = 469.33

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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.