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Finding the Fourth Proportional to 360.08, 495.92 and 289.04

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Solution

The fourth proportional to 360.08, 495.92 and 289.04 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.08 : 495.92 = 289.04 : x
  2. Step 2: Convert to fraction form
    360.08/495.92 = 289.04/x
  3. Step 3: Cross multiply
    360.08x = 495.92 × 289.04
  4. Step 4: Simplify right side
    360.08x = 143,340.72
  5. Step 5: Solve for x
    x = 143,340.72/360.08
  6. Step 6: Final answer
    x = 398.08

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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.