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Finding the Fourth Proportional to 552.12, 761.84 and 365.92

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Solution

The fourth proportional to 552.12, 761.84 and 365.92 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.12 : 761.84 = 365.92 : x
  2. Step 2: Convert to fraction form
    552.12/761.84 = 365.92/x
  3. Step 3: Cross multiply
    552.12x = 761.84 × 365.92
  4. Step 4: Simplify right side
    552.12x = 278,772.49
  5. Step 5: Solve for x
    x = 278,772.49/552.12
  6. Step 6: Final answer
    x = 504.91

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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.