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Finding the Fourth Proportional to 394.68, 592.02 and 257.84

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Solution

The fourth proportional to 394.68, 592.02 and 257.84 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.68 : 592.02 = 257.84 : x
  2. Step 2: Convert to fraction form
    394.68/592.02 = 257.84/x
  3. Step 3: Cross multiply
    394.68x = 592.02 × 257.84
  4. Step 4: Simplify right side
    394.68x = 152,645.70
  5. Step 5: Solve for x
    x = 152,645.70/394.68
  6. Step 6: Final answer
    x = 386.76

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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.