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Finding the Fourth Proportional to 363.02, 501.21 and 279.98

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Solution

The fourth proportional to 363.02, 501.21 and 279.98 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.02 : 501.21 = 279.98 : x
  2. Step 2: Convert to fraction form
    363.02/501.21 = 279.98/x
  3. Step 3: Cross multiply
    363.02x = 501.21 × 279.98
  4. Step 4: Simplify right side
    363.02x = 140,328.78
  5. Step 5: Solve for x
    x = 140,328.78/363.02
  6. Step 6: Final answer
    x = 386.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.