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Finding the Fourth Proportional to 657.64, 906.42 and 447.71

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Solution

The fourth proportional to 657.64, 906.42 and 447.71 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.64 : 906.42 = 447.71 : x
  2. Step 2: Convert to fraction form
    657.64/906.42 = 447.71/x
  3. Step 3: Cross multiply
    657.64x = 906.42 × 447.71
  4. Step 4: Simplify right side
    657.64x = 405,811.77
  5. Step 5: Solve for x
    x = 405,811.77/657.64
  6. Step 6: Final answer
    x = 617.07

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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.