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Finding the Fourth Proportional to 402.98, 599.04 and 391.16

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Solution

The fourth proportional to 402.98, 599.04 and 391.16 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 599.04 = 391.16 : x
  2. Step 2: Convert to fraction form
    402.98/599.04 = 391.16/x
  3. Step 3: Cross multiply
    402.98x = 599.04 × 391.16
  4. Step 4: Simplify right side
    402.98x = 234,321.98
  5. Step 5: Solve for x
    x = 234,321.98/402.98
  6. Step 6: Final answer
    x = 581.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.