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Finding the Fourth Proportional to 657.68, 906.74 and 539.22

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Solution

The fourth proportional to 657.68, 906.74 and 539.22 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 906.74 = 539.22 : x
  2. Step 2: Convert to fraction form
    657.68/906.74 = 539.22/x
  3. Step 3: Cross multiply
    657.68x = 906.74 × 539.22
  4. Step 4: Simplify right side
    657.68x = 488,932.34
  5. Step 5: Solve for x
    x = 488,932.34/657.68
  6. Step 6: Final answer
    x = 743.42

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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.