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Finding the Fourth Proportional to 657.45, 985.74 and 349.11

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Solution

The fourth proportional to 657.45, 985.74 and 349.11 is: 523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 985.74 = 349.11 : x
  2. Step 2: Convert to fraction form
    657.45/985.74 = 349.11/x
  3. Step 3: Cross multiply
    657.45x = 985.74 × 349.11
  4. Step 4: Simplify right side
    657.45x = 344,131.69
  5. Step 5: Solve for x
    x = 344,131.69/657.45
  6. Step 6: Final answer
    x = 523.43

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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.