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Finding the Fourth Proportional to 377.96, 565.93 and 267.66

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Solution

The fourth proportional to 377.96, 565.93 and 267.66 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 565.93 = 267.66 : x
  2. Step 2: Convert to fraction form
    377.96/565.93 = 267.66/x
  3. Step 3: Cross multiply
    377.96x = 565.93 × 267.66
  4. Step 4: Simplify right side
    377.96x = 151,476.82
  5. Step 5: Solve for x
    x = 151,476.82/377.96
  6. Step 6: Final answer
    x = 400.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.