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Finding the Fourth Proportional to 426.33, 639.29 and 152.38

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Solution

The fourth proportional to 426.33, 639.29 and 152.38 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.33 : 639.29 = 152.38 : x
  2. Step 2: Convert to fraction form
    426.33/639.29 = 152.38/x
  3. Step 3: Cross multiply
    426.33x = 639.29 × 152.38
  4. Step 4: Simplify right side
    426.33x = 97,414.25
  5. Step 5: Solve for x
    x = 97,414.25/426.33
  6. Step 6: Final answer
    x = 228.49

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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.