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Finding the Fourth Proportional to 360.34, 496.92 and 289.26

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Solution

The fourth proportional to 360.34, 496.92 and 289.26 is: 398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.34 : 496.92 = 289.26 : x
  2. Step 2: Convert to fraction form
    360.34/496.92 = 289.26/x
  3. Step 3: Cross multiply
    360.34x = 496.92 × 289.26
  4. Step 4: Simplify right side
    360.34x = 143,739.08
  5. Step 5: Solve for x
    x = 143,739.08/360.34
  6. Step 6: Final answer
    x = 398.90

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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.