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Finding the Fourth Proportional to 426.39, 639.90 and 316.95

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Solution

The fourth proportional to 426.39, 639.90 and 316.95 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.39 : 639.90 = 316.95 : x
  2. Step 2: Convert to fraction form
    426.39/639.90 = 316.95/x
  3. Step 3: Cross multiply
    426.39x = 639.90 × 316.95
  4. Step 4: Simplify right side
    426.39x = 202,814.72
  5. Step 5: Solve for x
    x = 202,814.72/426.39
  6. Step 6: Final answer
    x = 475.66

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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.