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Finding the Fourth Proportional to 657.29, 906.99 and 408.66

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Solution

The fourth proportional to 657.29, 906.99 and 408.66 is: 563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 906.99 = 408.66 : x
  2. Step 2: Convert to fraction form
    657.29/906.99 = 408.66/x
  3. Step 3: Cross multiply
    657.29x = 906.99 × 408.66
  4. Step 4: Simplify right side
    657.29x = 370,650.53
  5. Step 5: Solve for x
    x = 370,650.53/657.29
  6. Step 6: Final answer
    x = 563.91

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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.