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Finding the Fourth Proportional to 664.46, 916.62 and 416

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Solution

The fourth proportional to 664.46, 916.62 and 416 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.46 : 916.62 = 416 : x
  2. Step 2: Convert to fraction form
    664.46/916.62 = 416/x
  3. Step 3: Cross multiply
    664.46x = 916.62 × 416
  4. Step 4: Simplify right side
    664.46x = 381,313.92
  5. Step 5: Solve for x
    x = 381,313.92/664.46
  6. Step 6: Final answer
    x = 573.87

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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.