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Finding the Fourth Proportional to 657.26, 906.91 and 377.47

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Solution

The fourth proportional to 657.26, 906.91 and 377.47 is: 520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.26 : 906.91 = 377.47 : x
  2. Step 2: Convert to fraction form
    657.26/906.91 = 377.47/x
  3. Step 3: Cross multiply
    657.26x = 906.91 × 377.47
  4. Step 4: Simplify right side
    657.26x = 342,331.51
  5. Step 5: Solve for x
    x = 342,331.51/657.26
  6. Step 6: Final answer
    x = 520.85

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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.