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Finding the Fourth Proportional to 334.57, 502.73 and 313.81

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Solution

The fourth proportional to 334.57, 502.73 and 313.81 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.57 : 502.73 = 313.81 : x
  2. Step 2: Convert to fraction form
    334.57/502.73 = 313.81/x
  3. Step 3: Cross multiply
    334.57x = 502.73 × 313.81
  4. Step 4: Simplify right side
    334.57x = 157,760.76
  5. Step 5: Solve for x
    x = 157,760.76/334.57
  6. Step 6: Final answer
    x = 471.54

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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.