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Finding the Fourth Proportional to 507.05, 698.76 and 349.39

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Solution

The fourth proportional to 507.05, 698.76 and 349.39 is: 481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 698.76 = 349.39 : x
  2. Step 2: Convert to fraction form
    507.05/698.76 = 349.39/x
  3. Step 3: Cross multiply
    507.05x = 698.76 × 349.39
  4. Step 4: Simplify right side
    507.05x = 244,141.24
  5. Step 5: Solve for x
    x = 244,141.24/507.05
  6. Step 6: Final answer
    x = 481.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.