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Finding the Fourth Proportional to 599.31, 899.33 and 274.71

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Solution

The fourth proportional to 599.31, 899.33 and 274.71 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 899.33 = 274.71 : x
  2. Step 2: Convert to fraction form
    599.31/899.33 = 274.71/x
  3. Step 3: Cross multiply
    599.31x = 899.33 × 274.71
  4. Step 4: Simplify right side
    599.31x = 247,054.94
  5. Step 5: Solve for x
    x = 247,054.94/599.31
  6. Step 6: Final answer
    x = 412.23

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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.