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Finding the Fourth Proportional to 657.30, 906.90 and 552.78

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Solution

The fourth proportional to 657.30, 906.90 and 552.78 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 906.90 = 552.78 : x
  2. Step 2: Convert to fraction form
    657.30/906.90 = 552.78/x
  3. Step 3: Cross multiply
    657.30x = 906.90 × 552.78
  4. Step 4: Simplify right side
    657.30x = 501,316.18
  5. Step 5: Solve for x
    x = 501,316.18/657.30
  6. Step 6: Final answer
    x = 762.69

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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.