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Finding the Fourth Proportional to 664.78, 916.98 and 431.92

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Solution

The fourth proportional to 664.78, 916.98 and 431.92 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.78 : 916.98 = 431.92 : x
  2. Step 2: Convert to fraction form
    664.78/916.98 = 431.92/x
  3. Step 3: Cross multiply
    664.78x = 916.98 × 431.92
  4. Step 4: Simplify right side
    664.78x = 396,062.00
  5. Step 5: Solve for x
    x = 396,062.00/664.78
  6. Step 6: Final answer
    x = 595.78

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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.