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Finding the Fourth Proportional to 591.42, 887.59 and 299.22

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Solution

The fourth proportional to 591.42, 887.59 and 299.22 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 887.59 = 299.22 : x
  2. Step 2: Convert to fraction form
    591.42/887.59 = 299.22/x
  3. Step 3: Cross multiply
    591.42x = 887.59 × 299.22
  4. Step 4: Simplify right side
    591.42x = 265,581.73
  5. Step 5: Solve for x
    x = 265,581.73/591.42
  6. Step 6: Final answer
    x = 449.05

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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.