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Finding the Fourth Proportional to 343.56, 517.76 and 309.36

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Solution

The fourth proportional to 343.56, 517.76 and 309.36 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 517.76 = 309.36 : x
  2. Step 2: Convert to fraction form
    343.56/517.76 = 309.36/x
  3. Step 3: Cross multiply
    343.56x = 517.76 × 309.36
  4. Step 4: Simplify right side
    343.56x = 160,172.69
  5. Step 5: Solve for x
    x = 160,172.69/343.56
  6. Step 6: Final answer
    x = 466.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.