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Finding the Fourth Proportional to 657.09, 908.22 and 577.82

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Solution

The fourth proportional to 657.09, 908.22 and 577.82 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 908.22 = 577.82 : x
  2. Step 2: Convert to fraction form
    657.09/908.22 = 577.82/x
  3. Step 3: Cross multiply
    657.09x = 908.22 × 577.82
  4. Step 4: Simplify right side
    657.09x = 524,783.14
  5. Step 5: Solve for x
    x = 524,783.14/657.09
  6. Step 6: Final answer
    x = 798.65

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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.