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Finding the Fourth Proportional to 599.08, 825.96 and 402.16

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Solution

The fourth proportional to 599.08, 825.96 and 402.16 is: 554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.08 : 825.96 = 402.16 : x
  2. Step 2: Convert to fraction form
    599.08/825.96 = 402.16/x
  3. Step 3: Cross multiply
    599.08x = 825.96 × 402.16
  4. Step 4: Simplify right side
    599.08x = 332,168.07
  5. Step 5: Solve for x
    x = 332,168.07/599.08
  6. Step 6: Final answer
    x = 554.46

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