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Finding the Fourth Proportional to 296.46, 409.34 and 203.20

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Solution

The fourth proportional to 296.46, 409.34 and 203.20 is: 280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 409.34 = 203.20 : x
  2. Step 2: Convert to fraction form
    296.46/409.34 = 203.20/x
  3. Step 3: Cross multiply
    296.46x = 409.34 × 203.20
  4. Step 4: Simplify right side
    296.46x = 83,177.89
  5. Step 5: Solve for x
    x = 83,177.89/296.46
  6. Step 6: Final answer
    x = 280.57

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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.