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Finding the Fourth Proportional to 426.43, 587.43 and 371.07

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Solution

The fourth proportional to 426.43, 587.43 and 371.07 is: 511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.43 : 587.43 = 371.07 : x
  2. Step 2: Convert to fraction form
    426.43/587.43 = 371.07/x
  3. Step 3: Cross multiply
    426.43x = 587.43 × 371.07
  4. Step 4: Simplify right side
    426.43x = 217,977.65
  5. Step 5: Solve for x
    x = 217,977.65/426.43
  6. Step 6: Final answer
    x = 511.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.