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Finding the Fourth Proportional to 562.22, 838.37 and 523.27

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Solution

The fourth proportional to 562.22, 838.37 and 523.27 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 838.37 = 523.27 : x
  2. Step 2: Convert to fraction form
    562.22/838.37 = 523.27/x
  3. Step 3: Cross multiply
    562.22x = 838.37 × 523.27
  4. Step 4: Simplify right side
    562.22x = 438,689.16
  5. Step 5: Solve for x
    x = 438,689.16/562.22
  6. Step 6: Final answer
    x = 780.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.