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Finding the Fourth Proportional to 426.68, 640.13 and 345.16

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Solution

The fourth proportional to 426.68, 640.13 and 345.16 is: 517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.68 : 640.13 = 345.16 : x
  2. Step 2: Convert to fraction form
    426.68/640.13 = 345.16/x
  3. Step 3: Cross multiply
    426.68x = 640.13 × 345.16
  4. Step 4: Simplify right side
    426.68x = 220,943.94
  5. Step 5: Solve for x
    x = 220,943.94/426.68
  6. Step 6: Final answer
    x = 517.82

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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.