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Finding the Fourth Proportional to 377.95, 521.38 and 261.31

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Solution

The fourth proportional to 377.95, 521.38 and 261.31 is: 360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.95 : 521.38 = 261.31 : x
  2. Step 2: Convert to fraction form
    377.95/521.38 = 261.31/x
  3. Step 3: Cross multiply
    377.95x = 521.38 × 261.31
  4. Step 4: Simplify right side
    377.95x = 136,241.81
  5. Step 5: Solve for x
    x = 136,241.81/377.95
  6. Step 6: Final answer
    x = 360.48

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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.