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Finding the Fourth Proportional to 404.10, 605.61 and 187.47

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Solution

The fourth proportional to 404.10, 605.61 and 187.47 is: 280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.10 : 605.61 = 187.47 : x
  2. Step 2: Convert to fraction form
    404.10/605.61 = 187.47/x
  3. Step 3: Cross multiply
    404.10x = 605.61 × 187.47
  4. Step 4: Simplify right side
    404.10x = 113,533.71
  5. Step 5: Solve for x
    x = 113,533.71/404.10
  6. Step 6: Final answer
    x = 280.95

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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.