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Finding the Fourth Proportional to 394.92, 592.07 and 265.05

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Solution

The fourth proportional to 394.92, 592.07 and 265.05 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 592.07 = 265.05 : x
  2. Step 2: Convert to fraction form
    394.92/592.07 = 265.05/x
  3. Step 3: Cross multiply
    394.92x = 592.07 × 265.05
  4. Step 4: Simplify right side
    394.92x = 156,926.83
  5. Step 5: Solve for x
    x = 156,926.83/394.92
  6. Step 6: Final answer
    x = 397.36

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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.