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Finding the Fourth Proportional to 309.84, 463.92 and 213.84

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Solution

The fourth proportional to 309.84, 463.92 and 213.84 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 463.92 = 213.84 : x
  2. Step 2: Convert to fraction form
    309.84/463.92 = 213.84/x
  3. Step 3: Cross multiply
    309.84x = 463.92 × 213.84
  4. Step 4: Simplify right side
    309.84x = 99,204.65
  5. Step 5: Solve for x
    x = 99,204.65/309.84
  6. Step 6: Final answer
    x = 320.18

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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.