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Finding the Fourth Proportional to 334.86, 502.65 and 281.34

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Solution

The fourth proportional to 334.86, 502.65 and 281.34 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.86 : 502.65 = 281.34 : x
  2. Step 2: Convert to fraction form
    334.86/502.65 = 281.34/x
  3. Step 3: Cross multiply
    334.86x = 502.65 × 281.34
  4. Step 4: Simplify right side
    334.86x = 141,415.55
  5. Step 5: Solve for x
    x = 141,415.55/334.86
  6. Step 6: Final answer
    x = 422.31

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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.