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Finding the Fourth Proportional to 664.14, 916.33 and 523.83

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Solution

The fourth proportional to 664.14, 916.33 and 523.83 is: 722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.14 : 916.33 = 523.83 : x
  2. Step 2: Convert to fraction form
    664.14/916.33 = 523.83/x
  3. Step 3: Cross multiply
    664.14x = 916.33 × 523.83
  4. Step 4: Simplify right side
    664.14x = 480,001.14
  5. Step 5: Solve for x
    x = 480,001.14/664.14
  6. Step 6: Final answer
    x = 722.74

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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.