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Finding the Fourth Proportional to 376.40, 521.16 and 366.80

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Solution

The fourth proportional to 376.40, 521.16 and 366.80 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 521.16 = 366.80 : x
  2. Step 2: Convert to fraction form
    376.40/521.16 = 366.80/x
  3. Step 3: Cross multiply
    376.40x = 521.16 × 366.80
  4. Step 4: Simplify right side
    376.40x = 191,161.49
  5. Step 5: Solve for x
    x = 191,161.49/376.40
  6. Step 6: Final answer
    x = 507.87

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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.