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Finding the Fourth Proportional to 562.12, 775.48 and 326.05

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Solution

The fourth proportional to 562.12, 775.48 and 326.05 is: 449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.12 : 775.48 = 326.05 : x
  2. Step 2: Convert to fraction form
    562.12/775.48 = 326.05/x
  3. Step 3: Cross multiply
    562.12x = 775.48 × 326.05
  4. Step 4: Simplify right side
    562.12x = 252,840.56
  5. Step 5: Solve for x
    x = 252,840.56/562.12
  6. Step 6: Final answer
    x = 449.80

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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.