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Finding the Fourth Proportional to 562.32, 843.84 and 418.32

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Solution

The fourth proportional to 562.32, 843.84 and 418.32 is: 627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 843.84 = 418.32 : x
  2. Step 2: Convert to fraction form
    562.32/843.84 = 418.32/x
  3. Step 3: Cross multiply
    562.32x = 843.84 × 418.32
  4. Step 4: Simplify right side
    562.32x = 352,995.15
  5. Step 5: Solve for x
    x = 352,995.15/562.32
  6. Step 6: Final answer
    x = 627.75

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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.