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Finding the Fourth Proportional to 562.45, 844.14 and 238.04

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Solution

The fourth proportional to 562.45, 844.14 and 238.04 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.45 : 844.14 = 238.04 : x
  2. Step 2: Convert to fraction form
    562.45/844.14 = 238.04/x
  3. Step 3: Cross multiply
    562.45x = 844.14 × 238.04
  4. Step 4: Simplify right side
    562.45x = 200,939.09
  5. Step 5: Solve for x
    x = 200,939.09/562.45
  6. Step 6: Final answer
    x = 357.26

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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.