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Finding the Fourth Proportional to 394.91, 592.52 and 340.61

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Solution

The fourth proportional to 394.91, 592.52 and 340.61 is: 511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.91 : 592.52 = 340.61 : x
  2. Step 2: Convert to fraction form
    394.91/592.52 = 340.61/x
  3. Step 3: Cross multiply
    394.91x = 592.52 × 340.61
  4. Step 4: Simplify right side
    394.91x = 201,813.57
  5. Step 5: Solve for x
    x = 201,813.57/394.91
  6. Step 6: Final answer
    x = 511.04

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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.