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Finding the Fourth Proportional to 591.98, 888.17 and 299.34

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Solution

The fourth proportional to 591.98, 888.17 and 299.34 is: 449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 888.17 = 299.34 : x
  2. Step 2: Convert to fraction form
    591.98/888.17 = 299.34/x
  3. Step 3: Cross multiply
    591.98x = 888.17 × 299.34
  4. Step 4: Simplify right side
    591.98x = 265,858.87
  5. Step 5: Solve for x
    x = 265,858.87/591.98
  6. Step 6: Final answer
    x = 449.10

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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.