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Finding the Fourth Proportional to 562.82, 844.35 and 238.19

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Solution

The fourth proportional to 562.82, 844.35 and 238.19 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 844.35 = 238.19 : x
  2. Step 2: Convert to fraction form
    562.82/844.35 = 238.19/x
  3. Step 3: Cross multiply
    562.82x = 844.35 × 238.19
  4. Step 4: Simplify right side
    562.82x = 201,110.61
  5. Step 5: Solve for x
    x = 201,110.61/562.82
  6. Step 6: Final answer
    x = 357.33

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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.