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Finding the Fourth Proportional to 482.74, 723.76 and 277.27

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Solution

The fourth proportional to 482.74, 723.76 and 277.27 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.74 : 723.76 = 277.27 : x
  2. Step 2: Convert to fraction form
    482.74/723.76 = 277.27/x
  3. Step 3: Cross multiply
    482.74x = 723.76 × 277.27
  4. Step 4: Simplify right side
    482.74x = 200,676.94
  5. Step 5: Solve for x
    x = 200,676.94/482.74
  6. Step 6: Final answer
    x = 415.70

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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.