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Finding the Fourth Proportional to 394.65, 592.14 and 278.82

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Solution

The fourth proportional to 394.65, 592.14 and 278.82 is: 418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.65 : 592.14 = 278.82 : x
  2. Step 2: Convert to fraction form
    394.65/592.14 = 278.82/x
  3. Step 3: Cross multiply
    394.65x = 592.14 × 278.82
  4. Step 4: Simplify right side
    394.65x = 165,100.47
  5. Step 5: Solve for x
    x = 165,100.47/394.65
  6. Step 6: Final answer
    x = 418.35

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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.