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Finding the Fourth Proportional to 482.09, 722.48 and 207.79

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Solution

The fourth proportional to 482.09, 722.48 and 207.79 is: 311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.09 : 722.48 = 207.79 : x
  2. Step 2: Convert to fraction form
    482.09/722.48 = 207.79/x
  3. Step 3: Cross multiply
    482.09x = 722.48 × 207.79
  4. Step 4: Simplify right side
    482.09x = 150,121.27
  5. Step 5: Solve for x
    x = 150,121.27/482.09
  6. Step 6: Final answer
    x = 311.40

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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.