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Finding the Fourth Proportional to 334.40, 504.36 and 323.46

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Solution

The fourth proportional to 334.40, 504.36 and 323.46 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 504.36 = 323.46 : x
  2. Step 2: Convert to fraction form
    334.40/504.36 = 323.46/x
  3. Step 3: Cross multiply
    334.40x = 504.36 × 323.46
  4. Step 4: Simplify right side
    334.40x = 163,140.29
  5. Step 5: Solve for x
    x = 163,140.29/334.40
  6. Step 6: Final answer
    x = 487.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.