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Finding the Fourth Proportional to 891.48, 1,336.71 and 306.15

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Solution

The fourth proportional to 891.48, 1,336.71 and 306.15 is: 459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.48 : 1,336.71 = 306.15 : x
  2. Step 2: Convert to fraction form
    891.48/1,336.71 = 306.15/x
  3. Step 3: Cross multiply
    891.48x = 1,336.71 × 306.15
  4. Step 4: Simplify right side
    891.48x = 409,233.77
  5. Step 5: Solve for x
    x = 409,233.77/891.48
  6. Step 6: Final answer
    x = 459.05

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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.