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Finding the Fourth Proportional to 599.09, 825.39 and 474.71

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Solution

The fourth proportional to 599.09, 825.39 and 474.71 is: 654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 825.39 = 474.71 : x
  2. Step 2: Convert to fraction form
    599.09/825.39 = 474.71/x
  3. Step 3: Cross multiply
    599.09x = 825.39 × 474.71
  4. Step 4: Simplify right side
    599.09x = 391,820.89
  5. Step 5: Solve for x
    x = 391,820.89/599.09
  6. Step 6: Final answer
    x = 654.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.