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Finding the Fourth Proportional to 436.24, 654.31 and 271.77

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Solution

The fourth proportional to 436.24, 654.31 and 271.77 is: 407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.24 : 654.31 = 271.77 : x
  2. Step 2: Convert to fraction form
    436.24/654.31 = 271.77/x
  3. Step 3: Cross multiply
    436.24x = 654.31 × 271.77
  4. Step 4: Simplify right side
    436.24x = 177,821.83
  5. Step 5: Solve for x
    x = 177,821.83/436.24
  6. Step 6: Final answer
    x = 407.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.