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Finding the Fourth Proportional to 436.27, 651.27 and 378.89

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Solution

The fourth proportional to 436.27, 651.27 and 378.89 is: 565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.27 : 651.27 = 378.89 : x
  2. Step 2: Convert to fraction form
    436.27/651.27 = 378.89/x
  3. Step 3: Cross multiply
    436.27x = 651.27 × 378.89
  4. Step 4: Simplify right side
    436.27x = 246,759.69
  5. Step 5: Solve for x
    x = 246,759.69/436.27
  6. Step 6: Final answer
    x = 565.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.