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Finding the Fourth Proportional to 912.91, 1,369.47 and 263.68

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Solution

The fourth proportional to 912.91, 1,369.47 and 263.68 is: 395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.91 : 1,369.47 = 263.68 : x
  2. Step 2: Convert to fraction form
    912.91/1,369.47 = 263.68/x
  3. Step 3: Cross multiply
    912.91x = 1,369.47 × 263.68
  4. Step 4: Simplify right side
    912.91x = 361,101.85
  5. Step 5: Solve for x
    x = 361,101.85/912.91
  6. Step 6: Final answer
    x = 395.55

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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.