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Finding the Fourth Proportional to 694.10, 958.02 and 458.09

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Solution

The fourth proportional to 694.10, 958.02 and 458.09 is: 632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.10 : 958.02 = 458.09 : x
  2. Step 2: Convert to fraction form
    694.10/958.02 = 458.09/x
  3. Step 3: Cross multiply
    694.10x = 958.02 × 458.09
  4. Step 4: Simplify right side
    694.10x = 438,859.38
  5. Step 5: Solve for x
    x = 438,859.38/694.10
  6. Step 6: Final answer
    x = 632.27

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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.