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Finding the Fourth Proportional to 599.20, 899.14 and 291.12

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Solution

The fourth proportional to 599.20, 899.14 and 291.12 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 899.14 = 291.12 : x
  2. Step 2: Convert to fraction form
    599.20/899.14 = 291.12/x
  3. Step 3: Cross multiply
    599.20x = 899.14 × 291.12
  4. Step 4: Simplify right side
    599.20x = 261,757.64
  5. Step 5: Solve for x
    x = 261,757.64/599.20
  6. Step 6: Final answer
    x = 436.85

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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.