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Finding the Fourth Proportional to 377.43, 521.06 and 261.15

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Solution

The fourth proportional to 377.43, 521.06 and 261.15 is: 360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.43 : 521.06 = 261.15 : x
  2. Step 2: Convert to fraction form
    377.43/521.06 = 261.15/x
  3. Step 3: Cross multiply
    377.43x = 521.06 × 261.15
  4. Step 4: Simplify right side
    377.43x = 136,073.51
  5. Step 5: Solve for x
    x = 136,073.51/377.43
  6. Step 6: Final answer
    x = 360.53

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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.