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Finding the Fourth Proportional to 562.90, 844.66 and 238.06

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Solution

The fourth proportional to 562.90, 844.66 and 238.06 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.90 : 844.66 = 238.06 : x
  2. Step 2: Convert to fraction form
    562.90/844.66 = 238.06/x
  3. Step 3: Cross multiply
    562.90x = 844.66 × 238.06
  4. Step 4: Simplify right side
    562.90x = 201,079.76
  5. Step 5: Solve for x
    x = 201,079.76/562.90
  6. Step 6: Final answer
    x = 357.22

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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.