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Finding the Fourth Proportional to 656.57, 906.48 and 446.69

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Solution

The fourth proportional to 656.57, 906.48 and 446.69 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.57 : 906.48 = 446.69 : x
  2. Step 2: Convert to fraction form
    656.57/906.48 = 446.69/x
  3. Step 3: Cross multiply
    656.57x = 906.48 × 446.69
  4. Step 4: Simplify right side
    656.57x = 404,911.02
  5. Step 5: Solve for x
    x = 404,911.02/656.57
  6. Step 6: Final answer
    x = 616.71

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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.