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Finding the Fourth Proportional to 323.42, 444.99 and 314.34

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Solution

The fourth proportional to 323.42, 444.99 and 314.34 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.42 : 444.99 = 314.34 : x
  2. Step 2: Convert to fraction form
    323.42/444.99 = 314.34/x
  3. Step 3: Cross multiply
    323.42x = 444.99 × 314.34
  4. Step 4: Simplify right side
    323.42x = 139,878.16
  5. Step 5: Solve for x
    x = 139,878.16/323.42
  6. Step 6: Final answer
    x = 432.50

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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.