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Finding the Fourth Proportional to 402.08, 599.16 and 380

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Solution

The fourth proportional to 402.08, 599.16 and 380 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.08 : 599.16 = 380 : x
  2. Step 2: Convert to fraction form
    402.08/599.16 = 380/x
  3. Step 3: Cross multiply
    402.08x = 599.16 × 380
  4. Step 4: Simplify right side
    402.08x = 227,680.80
  5. Step 5: Solve for x
    x = 227,680.80/402.08
  6. Step 6: Final answer
    x = 566.26

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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.