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Finding the Fourth Proportional to 801.76, 1,202.49 and 368.81

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Solution

The fourth proportional to 801.76, 1,202.49 and 368.81 is: 553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.76 : 1,202.49 = 368.81 : x
  2. Step 2: Convert to fraction form
    801.76/1,202.49 = 368.81/x
  3. Step 3: Cross multiply
    801.76x = 1,202.49 × 368.81
  4. Step 4: Simplify right side
    801.76x = 443,490.34
  5. Step 5: Solve for x
    x = 443,490.34/801.76
  6. Step 6: Final answer
    x = 553.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.