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Finding the Fourth Proportional to 404.46, 605.52 and 360.90

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Solution

The fourth proportional to 404.46, 605.52 and 360.90 is: 540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.46 : 605.52 = 360.90 : x
  2. Step 2: Convert to fraction form
    404.46/605.52 = 360.90/x
  3. Step 3: Cross multiply
    404.46x = 605.52 × 360.90
  4. Step 4: Simplify right side
    404.46x = 218,532.17
  5. Step 5: Solve for x
    x = 218,532.17/404.46
  6. Step 6: Final answer
    x = 540.31

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