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Finding the Fourth Proportional to 657.53, 906.41 and 421.44

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Solution

The fourth proportional to 657.53, 906.41 and 421.44 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.53 : 906.41 = 421.44 : x
  2. Step 2: Convert to fraction form
    657.53/906.41 = 421.44/x
  3. Step 3: Cross multiply
    657.53x = 906.41 × 421.44
  4. Step 4: Simplify right side
    657.53x = 381,995.32
  5. Step 5: Solve for x
    x = 381,995.32/657.53
  6. Step 6: Final answer
    x = 580.96

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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.