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Finding the Fourth Proportional to 562.71, 844.08 and 238.03

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Solution

The fourth proportional to 562.71, 844.08 and 238.03 is: 357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.71 : 844.08 = 238.03 : x
  2. Step 2: Convert to fraction form
    562.71/844.08 = 238.03/x
  3. Step 3: Cross multiply
    562.71x = 844.08 × 238.03
  4. Step 4: Simplify right side
    562.71x = 200,916.36
  5. Step 5: Solve for x
    x = 200,916.36/562.71
  6. Step 6: Final answer
    x = 357.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.