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Finding the Fourth Proportional to 435.22, 652.98 and 191.81

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Solution

The fourth proportional to 435.22, 652.98 and 191.81 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.22 : 652.98 = 191.81 : x
  2. Step 2: Convert to fraction form
    435.22/652.98 = 191.81/x
  3. Step 3: Cross multiply
    435.22x = 652.98 × 191.81
  4. Step 4: Simplify right side
    435.22x = 125,248.09
  5. Step 5: Solve for x
    x = 125,248.09/435.22
  6. Step 6: Final answer
    x = 287.78

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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.