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Finding the Fourth Proportional to 562.76, 844.37 and 216.26

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Solution

The fourth proportional to 562.76, 844.37 and 216.26 is: 324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 844.37 = 216.26 : x
  2. Step 2: Convert to fraction form
    562.76/844.37 = 216.26/x
  3. Step 3: Cross multiply
    562.76x = 844.37 × 216.26
  4. Step 4: Simplify right side
    562.76x = 182,598.15
  5. Step 5: Solve for x
    x = 182,598.15/562.76
  6. Step 6: Final answer
    x = 324.47

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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.