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Finding the Fourth Proportional to 599.78, 899.25 and 209.60

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Solution

The fourth proportional to 599.78, 899.25 and 209.60 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 899.25 = 209.60 : x
  2. Step 2: Convert to fraction form
    599.78/899.25 = 209.60/x
  3. Step 3: Cross multiply
    599.78x = 899.25 × 209.60
  4. Step 4: Simplify right side
    599.78x = 188,478.30
  5. Step 5: Solve for x
    x = 188,478.30/599.78
  6. Step 6: Final answer
    x = 314.25

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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.