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Finding the Fourth Proportional to 657.96, 908.62 and 472.06

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Solution

The fourth proportional to 657.96, 908.62 and 472.06 is: 651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 908.62 = 472.06 : x
  2. Step 2: Convert to fraction form
    657.96/908.62 = 472.06/x
  3. Step 3: Cross multiply
    657.96x = 908.62 × 472.06
  4. Step 4: Simplify right side
    657.96x = 428,923.11
  5. Step 5: Solve for x
    x = 428,923.11/657.96
  6. Step 6: Final answer
    x = 651.90

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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.