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Finding the Fourth Proportional to 334.39, 463.57 and 316.83

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Solution

The fourth proportional to 334.39, 463.57 and 316.83 is: 439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.39 : 463.57 = 316.83 : x
  2. Step 2: Convert to fraction form
    334.39/463.57 = 316.83/x
  3. Step 3: Cross multiply
    334.39x = 463.57 × 316.83
  4. Step 4: Simplify right side
    334.39x = 146,870.57
  5. Step 5: Solve for x
    x = 146,870.57/334.39
  6. Step 6: Final answer
    x = 439.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.