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Finding the Fourth Proportional to 343.84, 514.32 and 310.18

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Solution

The fourth proportional to 343.84, 514.32 and 310.18 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 514.32 = 310.18 : x
  2. Step 2: Convert to fraction form
    343.84/514.32 = 310.18/x
  3. Step 3: Cross multiply
    343.84x = 514.32 × 310.18
  4. Step 4: Simplify right side
    343.84x = 159,531.78
  5. Step 5: Solve for x
    x = 159,531.78/343.84
  6. Step 6: Final answer
    x = 463.97

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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.