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Finding the Fourth Proportional to 549.90, 758.86 and 301.23

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Solution

The fourth proportional to 549.90, 758.86 and 301.23 is: 415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 758.86 = 301.23 : x
  2. Step 2: Convert to fraction form
    549.90/758.86 = 301.23/x
  3. Step 3: Cross multiply
    549.90x = 758.86 × 301.23
  4. Step 4: Simplify right side
    549.90x = 228,589.50
  5. Step 5: Solve for x
    x = 228,589.50/549.90
  6. Step 6: Final answer
    x = 415.69

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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.