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Finding the Fourth Proportional to 599.14, 898.67 and 214.40

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Solution

The fourth proportional to 599.14, 898.67 and 214.40 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.14 : 898.67 = 214.40 : x
  2. Step 2: Convert to fraction form
    599.14/898.67 = 214.40/x
  3. Step 3: Cross multiply
    599.14x = 898.67 × 214.40
  4. Step 4: Simplify right side
    599.14x = 192,674.85
  5. Step 5: Solve for x
    x = 192,674.85/599.14
  6. Step 6: Final answer
    x = 321.59

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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.