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Finding the Fourth Proportional to 370.84, 512 and 286.66

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Solution

The fourth proportional to 370.84, 512 and 286.66 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.84 : 512 = 286.66 : x
  2. Step 2: Convert to fraction form
    370.84/512 = 286.66/x
  3. Step 3: Cross multiply
    370.84x = 512 × 286.66
  4. Step 4: Simplify right side
    370.84x = 146,769.92
  5. Step 5: Solve for x
    x = 146,769.92/370.84
  6. Step 6: Final answer
    x = 395.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.