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Finding the Fourth Proportional to 549.86, 758.82 and 301.19

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Solution

The fourth proportional to 549.86, 758.82 and 301.19 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 758.82 = 301.19 : x
  2. Step 2: Convert to fraction form
    549.86/758.82 = 301.19/x
  3. Step 3: Cross multiply
    549.86x = 758.82 × 301.19
  4. Step 4: Simplify right side
    549.86x = 228,543.70
  5. Step 5: Solve for x
    x = 228,543.70/549.86
  6. Step 6: Final answer
    x = 415.64

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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.