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Finding the Fourth Proportional to 599.60, 899.33 and 209.56

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Solution

The fourth proportional to 599.60, 899.33 and 209.56 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 899.33 = 209.56 : x
  2. Step 2: Convert to fraction form
    599.60/899.33 = 209.56/x
  3. Step 3: Cross multiply
    599.60x = 899.33 × 209.56
  4. Step 4: Simplify right side
    599.60x = 188,461.87
  5. Step 5: Solve for x
    x = 188,461.87/599.60
  6. Step 6: Final answer
    x = 314.32

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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.