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Finding the Fourth Proportional to 552.77, 763.44 and 500.30

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Solution

The fourth proportional to 552.77, 763.44 and 500.30 is: 690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.77 : 763.44 = 500.30 : x
  2. Step 2: Convert to fraction form
    552.77/763.44 = 500.30/x
  3. Step 3: Cross multiply
    552.77x = 763.44 × 500.30
  4. Step 4: Simplify right side
    552.77x = 381,949.03
  5. Step 5: Solve for x
    x = 381,949.03/552.77
  6. Step 6: Final answer
    x = 690.97

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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.