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Finding the Fourth Proportional to 334.46, 502.14 and 261.56

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Solution

The fourth proportional to 334.46, 502.14 and 261.56 is: 392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.46 : 502.14 = 261.56 : x
  2. Step 2: Convert to fraction form
    334.46/502.14 = 261.56/x
  3. Step 3: Cross multiply
    334.46x = 502.14 × 261.56
  4. Step 4: Simplify right side
    334.46x = 131,339.74
  5. Step 5: Solve for x
    x = 131,339.74/334.46
  6. Step 6: Final answer
    x = 392.69

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Why These Related Problems?

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