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Finding the Fourth Proportional to 552.13, 761.43 and 365.56

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Solution

The fourth proportional to 552.13, 761.43 and 365.56 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.13 : 761.43 = 365.56 : x
  2. Step 2: Convert to fraction form
    552.13/761.43 = 365.56/x
  3. Step 3: Cross multiply
    552.13x = 761.43 × 365.56
  4. Step 4: Simplify right side
    552.13x = 278,348.35
  5. Step 5: Solve for x
    x = 278,348.35/552.13
  6. Step 6: Final answer
    x = 504.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.