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Finding the Fourth Proportional to 288.15, 431.98 and 246.85

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Solution

The fourth proportional to 288.15, 431.98 and 246.85 is: 370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 431.98 = 246.85 : x
  2. Step 2: Convert to fraction form
    288.15/431.98 = 246.85/x
  3. Step 3: Cross multiply
    288.15x = 431.98 × 246.85
  4. Step 4: Simplify right side
    288.15x = 106,632.57
  5. Step 5: Solve for x
    x = 106,632.57/288.15
  6. Step 6: Final answer
    x = 370.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.