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Finding the Fourth Proportional to 323.13, 446.13 and 235.65

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Solution

The fourth proportional to 323.13, 446.13 and 235.65 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.13 : 446.13 = 235.65 : x
  2. Step 2: Convert to fraction form
    323.13/446.13 = 235.65/x
  3. Step 3: Cross multiply
    323.13x = 446.13 × 235.65
  4. Step 4: Simplify right side
    323.13x = 105,130.53
  5. Step 5: Solve for x
    x = 105,130.53/323.13
  6. Step 6: Final answer
    x = 325.35

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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.