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Finding the Fourth Proportional to 657.41, 906.56 and 458.48

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Solution

The fourth proportional to 657.41, 906.56 and 458.48 is: 632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.41 : 906.56 = 458.48 : x
  2. Step 2: Convert to fraction form
    657.41/906.56 = 458.48/x
  3. Step 3: Cross multiply
    657.41x = 906.56 × 458.48
  4. Step 4: Simplify right side
    657.41x = 415,632.80
  5. Step 5: Solve for x
    x = 415,632.80/657.41
  6. Step 6: Final answer
    x = 632.23

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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.