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Finding the Fourth Proportional to 599.73, 898.53 and 306.90

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Solution

The fourth proportional to 599.73, 898.53 and 306.90 is: 459.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.73 : 898.53 = 306.90 : x
  2. Step 2: Convert to fraction form
    599.73/898.53 = 306.90/x
  3. Step 3: Cross multiply
    599.73x = 898.53 × 306.90
  4. Step 4: Simplify right side
    599.73x = 275,758.86
  5. Step 5: Solve for x
    x = 275,758.86/599.73
  6. Step 6: Final answer
    x = 459.81

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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.