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Finding the Fourth Proportional to 426.63, 588.83 and 252.08

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Solution

The fourth proportional to 426.63, 588.83 and 252.08 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.63 : 588.83 = 252.08 : x
  2. Step 2: Convert to fraction form
    426.63/588.83 = 252.08/x
  3. Step 3: Cross multiply
    426.63x = 588.83 × 252.08
  4. Step 4: Simplify right side
    426.63x = 148,428.06
  5. Step 5: Solve for x
    x = 148,428.06/426.63
  6. Step 6: Final answer
    x = 347.91

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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.