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Finding the Fourth Proportional to 376.46, 518.64 and 265.76

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Solution

The fourth proportional to 376.46, 518.64 and 265.76 is: 366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.46 : 518.64 = 265.76 : x
  2. Step 2: Convert to fraction form
    376.46/518.64 = 265.76/x
  3. Step 3: Cross multiply
    376.46x = 518.64 × 265.76
  4. Step 4: Simplify right side
    376.46x = 137,833.77
  5. Step 5: Solve for x
    x = 137,833.77/376.46
  6. Step 6: Final answer
    x = 366.13

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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.