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Finding the Fourth Proportional to 599.96, 899.99 and 209.92

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Solution

The fourth proportional to 599.96, 899.99 and 209.92 is: 314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 899.99 = 209.92 : x
  2. Step 2: Convert to fraction form
    599.96/899.99 = 209.92/x
  3. Step 3: Cross multiply
    599.96x = 899.99 × 209.92
  4. Step 4: Simplify right side
    599.96x = 188,925.38
  5. Step 5: Solve for x
    x = 188,925.38/599.96
  6. Step 6: Final answer
    x = 314.90

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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.