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Finding the Fourth Proportional to 323.12, 442.99 and 317.28

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Solution

The fourth proportional to 323.12, 442.99 and 317.28 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 442.99 = 317.28 : x
  2. Step 2: Convert to fraction form
    323.12/442.99 = 317.28/x
  3. Step 3: Cross multiply
    323.12x = 442.99 × 317.28
  4. Step 4: Simplify right side
    323.12x = 140,551.87
  5. Step 5: Solve for x
    x = 140,551.87/323.12
  6. Step 6: Final answer
    x = 434.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.