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Finding the Fourth Proportional to 657.38, 906.97 and 377.54

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Solution

The fourth proportional to 657.38, 906.97 and 377.54 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 906.97 = 377.54 : x
  2. Step 2: Convert to fraction form
    657.38/906.97 = 377.54/x
  3. Step 3: Cross multiply
    657.38x = 906.97 × 377.54
  4. Step 4: Simplify right side
    657.38x = 342,417.45
  5. Step 5: Solve for x
    x = 342,417.45/657.38
  6. Step 6: Final answer
    x = 520.88

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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.