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Finding the Fourth Proportional to 553.68, 762.75 and 378.72

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Solution

The fourth proportional to 553.68, 762.75 and 378.72 is: 521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 762.75 = 378.72 : x
  2. Step 2: Convert to fraction form
    553.68/762.75 = 378.72/x
  3. Step 3: Cross multiply
    553.68x = 762.75 × 378.72
  4. Step 4: Simplify right side
    553.68x = 288,868.68
  5. Step 5: Solve for x
    x = 288,868.68/553.68
  6. Step 6: Final answer
    x = 521.72

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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.