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Finding the Fourth Proportional to 334.46, 500.48 and 313.71

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Solution

The fourth proportional to 334.46, 500.48 and 313.71 is: 469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.46 : 500.48 = 313.71 : x
  2. Step 2: Convert to fraction form
    334.46/500.48 = 313.71/x
  3. Step 3: Cross multiply
    334.46x = 500.48 × 313.71
  4. Step 4: Simplify right side
    334.46x = 157,003.31
  5. Step 5: Solve for x
    x = 157,003.31/334.46
  6. Step 6: Final answer
    x = 469.42

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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.