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Finding the Fourth Proportional to 694.91, 958.65 and 458.79

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Solution

The fourth proportional to 694.91, 958.65 and 458.79 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.91 : 958.65 = 458.79 : x
  2. Step 2: Convert to fraction form
    694.91/958.65 = 458.79/x
  3. Step 3: Cross multiply
    694.91x = 958.65 × 458.79
  4. Step 4: Simplify right side
    694.91x = 439,819.03
  5. Step 5: Solve for x
    x = 439,819.03/694.91
  6. Step 6: Final answer
    x = 632.92

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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.