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Finding the Fourth Proportional to 552.47, 761.96 and 365.87

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Solution

The fourth proportional to 552.47, 761.96 and 365.87 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 761.96 = 365.87 : x
  2. Step 2: Convert to fraction form
    552.47/761.96 = 365.87/x
  3. Step 3: Cross multiply
    552.47x = 761.96 × 365.87
  4. Step 4: Simplify right side
    552.47x = 278,781.12
  5. Step 5: Solve for x
    x = 278,781.12/552.47
  6. Step 6: Final answer
    x = 504.61

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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.