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Finding the Fourth Proportional to 552.16, 826.40 and 378.40

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Solution

The fourth proportional to 552.16, 826.40 and 378.40 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.16 : 826.40 = 378.40 : x
  2. Step 2: Convert to fraction form
    552.16/826.40 = 378.40/x
  3. Step 3: Cross multiply
    552.16x = 826.40 × 378.40
  4. Step 4: Simplify right side
    552.16x = 312,709.76
  5. Step 5: Solve for x
    x = 312,709.76/552.16
  6. Step 6: Final answer
    x = 566.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.