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Finding the Fourth Proportional to 288.90, 397.31 and 252.08

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Solution

The fourth proportional to 288.90, 397.31 and 252.08 is: 346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 397.31 = 252.08 : x
  2. Step 2: Convert to fraction form
    288.90/397.31 = 252.08/x
  3. Step 3: Cross multiply
    288.90x = 397.31 × 252.08
  4. Step 4: Simplify right side
    288.90x = 100,153.90
  5. Step 5: Solve for x
    x = 100,153.90/288.90
  6. Step 6: Final answer
    x = 346.67

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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.