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Finding the Fourth Proportional to 617.92, 852.51 and 378.57

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Solution

The fourth proportional to 617.92, 852.51 and 378.57 is: 522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 852.51 = 378.57 : x
  2. Step 2: Convert to fraction form
    617.92/852.51 = 378.57/x
  3. Step 3: Cross multiply
    617.92x = 852.51 × 378.57
  4. Step 4: Simplify right side
    617.92x = 322,734.71
  5. Step 5: Solve for x
    x = 322,734.71/617.92
  6. Step 6: Final answer
    x = 522.29

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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.