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Finding the Fourth Proportional to 425.51, 587.17 and 259.75

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Solution

The fourth proportional to 425.51, 587.17 and 259.75 is: 358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.51 : 587.17 = 259.75 : x
  2. Step 2: Convert to fraction form
    425.51/587.17 = 259.75/x
  3. Step 3: Cross multiply
    425.51x = 587.17 × 259.75
  4. Step 4: Simplify right side
    425.51x = 152,517.41
  5. Step 5: Solve for x
    x = 152,517.41/425.51
  6. Step 6: Final answer
    x = 358.43

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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.