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Finding the Fourth Proportional to 394.50, 594.05 and 292.51

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Solution

The fourth proportional to 394.50, 594.05 and 292.51 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.50 : 594.05 = 292.51 : x
  2. Step 2: Convert to fraction form
    394.50/594.05 = 292.51/x
  3. Step 3: Cross multiply
    394.50x = 594.05 × 292.51
  4. Step 4: Simplify right side
    394.50x = 173,765.57
  5. Step 5: Solve for x
    x = 173,765.57/394.50
  6. Step 6: Final answer
    x = 440.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.