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Finding the Fourth Proportional to 436.20, 602.04 and 261.66

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Solution

The fourth proportional to 436.20, 602.04 and 261.66 is: 361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.20 : 602.04 = 261.66 : x
  2. Step 2: Convert to fraction form
    436.20/602.04 = 261.66/x
  3. Step 3: Cross multiply
    436.20x = 602.04 × 261.66
  4. Step 4: Simplify right side
    436.20x = 157,529.79
  5. Step 5: Solve for x
    x = 157,529.79/436.20
  6. Step 6: Final answer
    x = 361.14

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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.