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Finding the Fourth Proportional to 426.01, 639.07 and 316.46

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Solution

The fourth proportional to 426.01, 639.07 and 316.46 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.01 : 639.07 = 316.46 : x
  2. Step 2: Convert to fraction form
    426.01/639.07 = 316.46/x
  3. Step 3: Cross multiply
    426.01x = 639.07 × 316.46
  4. Step 4: Simplify right side
    426.01x = 202,240.09
  5. Step 5: Solve for x
    x = 202,240.09/426.01
  6. Step 6: Final answer
    x = 474.73

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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.