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Finding the Fourth Proportional to 809.82, 1,214.72 and 232.70

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Solution

The fourth proportional to 809.82, 1,214.72 and 232.70 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,214.72 = 232.70 : x
  2. Step 2: Convert to fraction form
    809.82/1,214.72 = 232.70/x
  3. Step 3: Cross multiply
    809.82x = 1,214.72 × 232.70
  4. Step 4: Simplify right side
    809.82x = 282,658.11
  5. Step 5: Solve for x
    x = 282,658.11/809.82
  6. Step 6: Final answer
    x = 349.04

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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.