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Finding the Fourth Proportional to 801.51, 1,202.11 and 368.56

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Solution

The fourth proportional to 801.51, 1,202.11 and 368.56 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.51 : 1,202.11 = 368.56 : x
  2. Step 2: Convert to fraction form
    801.51/1,202.11 = 368.56/x
  3. Step 3: Cross multiply
    801.51x = 1,202.11 × 368.56
  4. Step 4: Simplify right side
    801.51x = 443,049.66
  5. Step 5: Solve for x
    x = 443,049.66/801.51
  6. Step 6: Final answer
    x = 552.77

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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.