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Finding the Fourth Proportional to 801.81, 1,202.49 and 339.57

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Solution

The fourth proportional to 801.81, 1,202.49 and 339.57 is: 509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.81 : 1,202.49 = 339.57 : x
  2. Step 2: Convert to fraction form
    801.81/1,202.49 = 339.57/x
  3. Step 3: Cross multiply
    801.81x = 1,202.49 × 339.57
  4. Step 4: Simplify right side
    801.81x = 408,329.53
  5. Step 5: Solve for x
    x = 408,329.53/801.81
  6. Step 6: Final answer
    x = 509.26

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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.