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Finding the Fourth Proportional to 808.71, 1,211.68 and 369.24

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Solution

The fourth proportional to 808.71, 1,211.68 and 369.24 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.71 : 1,211.68 = 369.24 : x
  2. Step 2: Convert to fraction form
    808.71/1,211.68 = 369.24/x
  3. Step 3: Cross multiply
    808.71x = 1,211.68 × 369.24
  4. Step 4: Simplify right side
    808.71x = 447,400.72
  5. Step 5: Solve for x
    x = 447,400.72/808.71
  6. Step 6: Final answer
    x = 553.23

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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.