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Finding the Fourth Proportional to 664.88, 916.99 and 416.12

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Solution

The fourth proportional to 664.88, 916.99 and 416.12 is: 573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 916.99 = 416.12 : x
  2. Step 2: Convert to fraction form
    664.88/916.99 = 416.12/x
  3. Step 3: Cross multiply
    664.88x = 916.99 × 416.12
  4. Step 4: Simplify right side
    664.88x = 381,572.25
  5. Step 5: Solve for x
    x = 381,572.25/664.88
  6. Step 6: Final answer
    x = 573.90

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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.