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Finding the Fourth Proportional to 562.24, 774.86 and 422.11

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Solution

The fourth proportional to 562.24, 774.86 and 422.11 is: 581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 774.86 = 422.11 : x
  2. Step 2: Convert to fraction form
    562.24/774.86 = 422.11/x
  3. Step 3: Cross multiply
    562.24x = 774.86 × 422.11
  4. Step 4: Simplify right side
    562.24x = 327,076.15
  5. Step 5: Solve for x
    x = 327,076.15/562.24
  6. Step 6: Final answer
    x = 581.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.