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Finding the Fourth Proportional to 801.88, 1,202.40 and 368.66

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Solution

The fourth proportional to 801.88, 1,202.40 and 368.66 is: 552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,202.40 = 368.66 : x
  2. Step 2: Convert to fraction form
    801.88/1,202.40 = 368.66/x
  3. Step 3: Cross multiply
    801.88x = 1,202.40 × 368.66
  4. Step 4: Simplify right side
    801.88x = 443,276.78
  5. Step 5: Solve for x
    x = 443,276.78/801.88
  6. Step 6: Final answer
    x = 552.80

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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.