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Finding the Fourth Proportional to 441.92, 609.58 and 292.54

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Solution

The fourth proportional to 441.92, 609.58 and 292.54 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 609.58 = 292.54 : x
  2. Step 2: Convert to fraction form
    441.92/609.58 = 292.54/x
  3. Step 3: Cross multiply
    441.92x = 609.58 × 292.54
  4. Step 4: Simplify right side
    441.92x = 178,326.53
  5. Step 5: Solve for x
    x = 178,326.53/441.92
  6. Step 6: Final answer
    x = 403.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.