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Finding the Fourth Proportional to 599.25, 899.24 and 257.25

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Solution

The fourth proportional to 599.25, 899.24 and 257.25 is: 386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.25 : 899.24 = 257.25 : x
  2. Step 2: Convert to fraction form
    599.25/899.24 = 257.25/x
  3. Step 3: Cross multiply
    599.25x = 899.24 × 257.25
  4. Step 4: Simplify right side
    599.25x = 231,328.20
  5. Step 5: Solve for x
    x = 231,328.20/599.25
  6. Step 6: Final answer
    x = 386.03

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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.