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Finding the Fourth Proportional to 376.70, 520.29 and 266.66

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Solution

The fourth proportional to 376.70, 520.29 and 266.66 is: 368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.70 : 520.29 = 266.66 : x
  2. Step 2: Convert to fraction form
    376.70/520.29 = 266.66/x
  3. Step 3: Cross multiply
    376.70x = 520.29 × 266.66
  4. Step 4: Simplify right side
    376.70x = 138,737.93
  5. Step 5: Solve for x
    x = 138,737.93/376.70
  6. Step 6: Final answer
    x = 368.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.