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Finding the Fourth Proportional to 334.34, 502.43 and 292.02

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Solution

The fourth proportional to 334.34, 502.43 and 292.02 is: 438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.34 : 502.43 = 292.02 : x
  2. Step 2: Convert to fraction form
    334.34/502.43 = 292.02/x
  3. Step 3: Cross multiply
    334.34x = 502.43 × 292.02
  4. Step 4: Simplify right side
    334.34x = 146,716.26
  5. Step 5: Solve for x
    x = 146,716.26/334.34
  6. Step 6: Final answer
    x = 438.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.