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Finding the Fourth Proportional to 591.68, 887.56 and 299.44

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Solution

The fourth proportional to 591.68, 887.56 and 299.44 is: 449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.68 : 887.56 = 299.44 : x
  2. Step 2: Convert to fraction form
    591.68/887.56 = 299.44/x
  3. Step 3: Cross multiply
    591.68x = 887.56 × 299.44
  4. Step 4: Simplify right side
    591.68x = 265,770.97
  5. Step 5: Solve for x
    x = 265,770.97/591.68
  6. Step 6: Final answer
    x = 449.18

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Why These Related Problems?

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