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Finding the Fourth Proportional to 295.11, 404.67 and 284.81

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Solution

The fourth proportional to 295.11, 404.67 and 284.81 is: 390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.11 : 404.67 = 284.81 : x
  2. Step 2: Convert to fraction form
    295.11/404.67 = 284.81/x
  3. Step 3: Cross multiply
    295.11x = 404.67 × 284.81
  4. Step 4: Simplify right side
    295.11x = 115,252.04
  5. Step 5: Solve for x
    x = 115,252.04/295.11
  6. Step 6: Final answer
    x = 390.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.