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Finding the Fourth Proportional to 549.38, 758.77 and 402.77

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Solution

The fourth proportional to 549.38, 758.77 and 402.77 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 758.77 = 402.77 : x
  2. Step 2: Convert to fraction form
    549.38/758.77 = 402.77/x
  3. Step 3: Cross multiply
    549.38x = 758.77 × 402.77
  4. Step 4: Simplify right side
    549.38x = 305,610.68
  5. Step 5: Solve for x
    x = 305,610.68/549.38
  6. Step 6: Final answer
    x = 556.28

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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.