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Finding the Fourth Proportional to 462.97, 694.58 and 170.51

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Solution

The fourth proportional to 462.97, 694.58 and 170.51 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 694.58 = 170.51 : x
  2. Step 2: Convert to fraction form
    462.97/694.58 = 170.51/x
  3. Step 3: Cross multiply
    462.97x = 694.58 × 170.51
  4. Step 4: Simplify right side
    462.97x = 118,428.51
  5. Step 5: Solve for x
    x = 118,428.51/462.97
  6. Step 6: Final answer
    x = 255.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.