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Finding the Fourth Proportional to 562.06, 775.09 and 422.02

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Solution

The fourth proportional to 562.06, 775.09 and 422.02 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.06 : 775.09 = 422.02 : x
  2. Step 2: Convert to fraction form
    562.06/775.09 = 422.02/x
  3. Step 3: Cross multiply
    562.06x = 775.09 × 422.02
  4. Step 4: Simplify right side
    562.06x = 327,103.48
  5. Step 5: Solve for x
    x = 327,103.48/562.06
  6. Step 6: Final answer
    x = 581.97

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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.