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Finding the Fourth Proportional to 426.35, 640.14 and 317

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Solution

The fourth proportional to 426.35, 640.14 and 317 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.35 : 640.14 = 317 : x
  2. Step 2: Convert to fraction form
    426.35/640.14 = 317/x
  3. Step 3: Cross multiply
    426.35x = 640.14 × 317
  4. Step 4: Simplify right side
    426.35x = 202,924.38
  5. Step 5: Solve for x
    x = 202,924.38/426.35
  6. Step 6: Final answer
    x = 475.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.