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Finding the Fourth Proportional to 436.70, 602.31 and 261.86

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Solution

The fourth proportional to 436.70, 602.31 and 261.86 is: 361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.70 : 602.31 = 261.86 : x
  2. Step 2: Convert to fraction form
    436.70/602.31 = 261.86/x
  3. Step 3: Cross multiply
    436.70x = 602.31 × 261.86
  4. Step 4: Simplify right side
    436.70x = 157,720.90
  5. Step 5: Solve for x
    x = 157,720.90/436.70
  6. Step 6: Final answer
    x = 361.17

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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.