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Finding the Fourth Proportional to 668.35, 922.14 and 458.59

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Solution

The fourth proportional to 668.35, 922.14 and 458.59 is: 632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 922.14 = 458.59 : x
  2. Step 2: Convert to fraction form
    668.35/922.14 = 458.59/x
  3. Step 3: Cross multiply
    668.35x = 922.14 × 458.59
  4. Step 4: Simplify right side
    668.35x = 422,879.57
  5. Step 5: Solve for x
    x = 422,879.57/668.35
  6. Step 6: Final answer
    x = 632.73

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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.