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Finding the Fourth Proportional to 309.57, 463.34 and 193.62

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Solution

The fourth proportional to 309.57, 463.34 and 193.62 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.57 : 463.34 = 193.62 : x
  2. Step 2: Convert to fraction form
    309.57/463.34 = 193.62/x
  3. Step 3: Cross multiply
    309.57x = 463.34 × 193.62
  4. Step 4: Simplify right side
    309.57x = 89,710.92
  5. Step 5: Solve for x
    x = 89,710.92/309.57
  6. Step 6: Final answer
    x = 289.79

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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.