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Finding the Fourth Proportional to 552.83, 762.89 and 343.01

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Solution

The fourth proportional to 552.83, 762.89 and 343.01 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.83 : 762.89 = 343.01 : x
  2. Step 2: Convert to fraction form
    552.83/762.89 = 343.01/x
  3. Step 3: Cross multiply
    552.83x = 762.89 × 343.01
  4. Step 4: Simplify right side
    552.83x = 261,678.90
  5. Step 5: Solve for x
    x = 261,678.90/552.83
  6. Step 6: Final answer
    x = 473.35

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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.