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Finding the Fourth Proportional to 425.81, 638.51 and 295.70

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Solution

The fourth proportional to 425.81, 638.51 and 295.70 is: 443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.81 : 638.51 = 295.70 : x
  2. Step 2: Convert to fraction form
    425.81/638.51 = 295.70/x
  3. Step 3: Cross multiply
    425.81x = 638.51 × 295.70
  4. Step 4: Simplify right side
    425.81x = 188,805.93
  5. Step 5: Solve for x
    x = 188,805.93/425.81
  6. Step 6: Final answer
    x = 443.41

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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.