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Finding the Fourth Proportional to 426.19, 588.10 and 251.50

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Solution

The fourth proportional to 426.19, 588.10 and 251.50 is: 347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.19 : 588.10 = 251.50 : x
  2. Step 2: Convert to fraction form
    426.19/588.10 = 251.50/x
  3. Step 3: Cross multiply
    426.19x = 588.10 × 251.50
  4. Step 4: Simplify right side
    426.19x = 147,907.15
  5. Step 5: Solve for x
    x = 147,907.15/426.19
  6. Step 6: Final answer
    x = 347.05

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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.