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Finding the Fourth Proportional to 562.68, 843.22 and 253.77

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Solution

The fourth proportional to 562.68, 843.22 and 253.77 is: 380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 843.22 = 253.77 : x
  2. Step 2: Convert to fraction form
    562.68/843.22 = 253.77/x
  3. Step 3: Cross multiply
    562.68x = 843.22 × 253.77
  4. Step 4: Simplify right side
    562.68x = 213,981.09
  5. Step 5: Solve for x
    x = 213,981.09/562.68
  6. Step 6: Final answer
    x = 380.29

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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.