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Finding the Fourth Proportional to 402.16, 606.27 and 376.60

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Solution

The fourth proportional to 402.16, 606.27 and 376.60 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 606.27 = 376.60 : x
  2. Step 2: Convert to fraction form
    402.16/606.27 = 376.60/x
  3. Step 3: Cross multiply
    402.16x = 606.27 × 376.60
  4. Step 4: Simplify right side
    402.16x = 228,321.28
  5. Step 5: Solve for x
    x = 228,321.28/402.16
  6. Step 6: Final answer
    x = 567.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.