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Finding the Fourth Proportional to 599.49, 899.60 and 414.54

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Solution

The fourth proportional to 599.49, 899.60 and 414.54 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 899.60 = 414.54 : x
  2. Step 2: Convert to fraction form
    599.49/899.60 = 414.54/x
  3. Step 3: Cross multiply
    599.49x = 899.60 × 414.54
  4. Step 4: Simplify right side
    599.49x = 372,918.11
  5. Step 5: Solve for x
    x = 372,918.11/599.49
  6. Step 6: Final answer
    x = 622.06

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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.