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Finding the Fourth Proportional to 553.24, 763.62 and 343.45

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Solution

The fourth proportional to 553.24, 763.62 and 343.45 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.24 : 763.62 = 343.45 : x
  2. Step 2: Convert to fraction form
    553.24/763.62 = 343.45/x
  3. Step 3: Cross multiply
    553.24x = 763.62 × 343.45
  4. Step 4: Simplify right side
    553.24x = 262,265.29
  5. Step 5: Solve for x
    x = 262,265.29/553.24
  6. Step 6: Final answer
    x = 474.05

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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.