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Finding the Fourth Proportional to 402.16, 599.75 and 363.28

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Solution

The fourth proportional to 402.16, 599.75 and 363.28 is: 541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 599.75 = 363.28 : x
  2. Step 2: Convert to fraction form
    402.16/599.75 = 363.28/x
  3. Step 3: Cross multiply
    402.16x = 599.75 × 363.28
  4. Step 4: Simplify right side
    402.16x = 217,877.18
  5. Step 5: Solve for x
    x = 217,877.18/402.16
  6. Step 6: Final answer
    x = 541.77

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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.