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Finding the Fourth Proportional to 462.84, 694.02 and 174.12

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Solution

The fourth proportional to 462.84, 694.02 and 174.12 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 694.02 = 174.12 : x
  2. Step 2: Convert to fraction form
    462.84/694.02 = 174.12/x
  3. Step 3: Cross multiply
    462.84x = 694.02 × 174.12
  4. Step 4: Simplify right side
    462.84x = 120,842.76
  5. Step 5: Solve for x
    x = 120,842.76/462.84
  6. Step 6: Final answer
    x = 261.09

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Why These Related Problems?

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