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Finding the Fourth Proportional to 402.06, 599.04 and 381.13

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Solution

The fourth proportional to 402.06, 599.04 and 381.13 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 599.04 = 381.13 : x
  2. Step 2: Convert to fraction form
    402.06/599.04 = 381.13/x
  3. Step 3: Cross multiply
    402.06x = 599.04 × 381.13
  4. Step 4: Simplify right side
    402.06x = 228,312.12
  5. Step 5: Solve for x
    x = 228,312.12/402.06
  6. Step 6: Final answer
    x = 567.86

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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.