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Finding the Fourth Proportional to 426.39, 587.57 and 406.23

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Solution

The fourth proportional to 426.39, 587.57 and 406.23 is: 559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.39 : 587.57 = 406.23 : x
  2. Step 2: Convert to fraction form
    426.39/587.57 = 406.23/x
  3. Step 3: Cross multiply
    426.39x = 587.57 × 406.23
  4. Step 4: Simplify right side
    426.39x = 238,686.53
  5. Step 5: Solve for x
    x = 238,686.53/426.39
  6. Step 6: Final answer
    x = 559.78

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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.