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Finding the Fourth Proportional to 426.80, 589.20 and 295.76

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Solution

The fourth proportional to 426.80, 589.20 and 295.76 is: 408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 589.20 = 295.76 : x
  2. Step 2: Convert to fraction form
    426.80/589.20 = 295.76/x
  3. Step 3: Cross multiply
    426.80x = 589.20 × 295.76
  4. Step 4: Simplify right side
    426.80x = 174,261.79
  5. Step 5: Solve for x
    x = 174,261.79/426.80
  6. Step 6: Final answer
    x = 408.30

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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.