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Finding the Fourth Proportional to 394.77, 592.14 and 265.69

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Solution

The fourth proportional to 394.77, 592.14 and 265.69 is: 398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.77 : 592.14 = 265.69 : x
  2. Step 2: Convert to fraction form
    394.77/592.14 = 265.69/x
  3. Step 3: Cross multiply
    394.77x = 592.14 × 265.69
  4. Step 4: Simplify right side
    394.77x = 157,324.35
  5. Step 5: Solve for x
    x = 157,324.35/394.77
  6. Step 6: Final answer
    x = 398.52

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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.