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Finding the Fourth Proportional to 436.35, 602.73 and 343.20

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Solution

The fourth proportional to 436.35, 602.73 and 343.20 is: 474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.35 : 602.73 = 343.20 : x
  2. Step 2: Convert to fraction form
    436.35/602.73 = 343.20/x
  3. Step 3: Cross multiply
    436.35x = 602.73 × 343.20
  4. Step 4: Simplify right side
    436.35x = 206,856.94
  5. Step 5: Solve for x
    x = 206,856.94/436.35
  6. Step 6: Final answer
    x = 474.06

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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.