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Finding the Fourth Proportional to 484.76, 727.88 and 427.47

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Solution

The fourth proportional to 484.76, 727.88 and 427.47 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.76 : 727.88 = 427.47 : x
  2. Step 2: Convert to fraction form
    484.76/727.88 = 427.47/x
  3. Step 3: Cross multiply
    484.76x = 727.88 × 427.47
  4. Step 4: Simplify right side
    484.76x = 311,147.93
  5. Step 5: Solve for x
    x = 311,147.93/484.76
  6. Step 6: Final answer
    x = 641.86

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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.