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Finding the Fourth Proportional to 366.20, 504.84 and 261.34

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Solution

The fourth proportional to 366.20, 504.84 and 261.34 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.20 : 504.84 = 261.34 : x
  2. Step 2: Convert to fraction form
    366.20/504.84 = 261.34/x
  3. Step 3: Cross multiply
    366.20x = 504.84 × 261.34
  4. Step 4: Simplify right side
    366.20x = 131,934.89
  5. Step 5: Solve for x
    x = 131,934.89/366.20
  6. Step 6: Final answer
    x = 360.28

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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.