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Finding the Fourth Proportional to 657.93, 908.12 and 461.49

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Solution

The fourth proportional to 657.93, 908.12 and 461.49 is: 636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.93 : 908.12 = 461.49 : x
  2. Step 2: Convert to fraction form
    657.93/908.12 = 461.49/x
  3. Step 3: Cross multiply
    657.93x = 908.12 × 461.49
  4. Step 4: Simplify right side
    657.93x = 419,088.30
  5. Step 5: Solve for x
    x = 419,088.30/657.93
  6. Step 6: Final answer
    x = 636.98

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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.