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Finding the Fourth Proportional to 309.54, 463.89 and 270.84

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Solution

The fourth proportional to 309.54, 463.89 and 270.84 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 463.89 = 270.84 : x
  2. Step 2: Convert to fraction form
    309.54/463.89 = 270.84/x
  3. Step 3: Cross multiply
    309.54x = 463.89 × 270.84
  4. Step 4: Simplify right side
    309.54x = 125,639.97
  5. Step 5: Solve for x
    x = 125,639.97/309.54
  6. Step 6: Final answer
    x = 405.89

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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.