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Finding the Fourth Proportional to 599.10, 897.84 and 252.12

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Solution

The fourth proportional to 599.10, 897.84 and 252.12 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 897.84 = 252.12 : x
  2. Step 2: Convert to fraction form
    599.10/897.84 = 252.12/x
  3. Step 3: Cross multiply
    599.10x = 897.84 × 252.12
  4. Step 4: Simplify right side
    599.10x = 226,363.42
  5. Step 5: Solve for x
    x = 226,363.42/599.10
  6. Step 6: Final answer
    x = 377.84

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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.