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Finding the Fourth Proportional to 426.16, 588.09 and 251.50

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Solution

The fourth proportional to 426.16, 588.09 and 251.50 is: 347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 588.09 = 251.50 : x
  2. Step 2: Convert to fraction form
    426.16/588.09 = 251.50/x
  3. Step 3: Cross multiply
    426.16x = 588.09 × 251.50
  4. Step 4: Simplify right side
    426.16x = 147,904.64
  5. Step 5: Solve for x
    x = 147,904.64/426.16
  6. Step 6: Final answer
    x = 347.06

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