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Finding the Fourth Proportional to 313.86, 433.02 and 203.30

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Solution

The fourth proportional to 313.86, 433.02 and 203.30 is: 280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 433.02 = 203.30 : x
  2. Step 2: Convert to fraction form
    313.86/433.02 = 203.30/x
  3. Step 3: Cross multiply
    313.86x = 433.02 × 203.30
  4. Step 4: Simplify right side
    313.86x = 88,032.97
  5. Step 5: Solve for x
    x = 88,032.97/313.86
  6. Step 6: Final answer
    x = 280.48

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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.