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Finding the Fourth Proportional to 296.37, 408.83 and 229.95

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Solution

The fourth proportional to 296.37, 408.83 and 229.95 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.37 : 408.83 = 229.95 : x
  2. Step 2: Convert to fraction form
    296.37/408.83 = 229.95/x
  3. Step 3: Cross multiply
    296.37x = 408.83 × 229.95
  4. Step 4: Simplify right side
    296.37x = 94,009.31
  5. Step 5: Solve for x
    x = 94,009.31/296.37
  6. Step 6: Final answer
    x = 317.20

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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.