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Finding the Fourth Proportional to 349.06, 522.81 and 342.37

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Solution

The fourth proportional to 349.06, 522.81 and 342.37 is: 512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 522.81 = 342.37 : x
  2. Step 2: Convert to fraction form
    349.06/522.81 = 342.37/x
  3. Step 3: Cross multiply
    349.06x = 522.81 × 342.37
  4. Step 4: Simplify right side
    349.06x = 178,994.46
  5. Step 5: Solve for x
    x = 178,994.46/349.06
  6. Step 6: Final answer
    x = 512.79

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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.