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Finding the Fourth Proportional to 463.18, 694.62 and 174.58

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Solution

The fourth proportional to 463.18, 694.62 and 174.58 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.18 : 694.62 = 174.58 : x
  2. Step 2: Convert to fraction form
    463.18/694.62 = 174.58/x
  3. Step 3: Cross multiply
    463.18x = 694.62 × 174.58
  4. Step 4: Simplify right side
    463.18x = 121,266.76
  5. Step 5: Solve for x
    x = 121,266.76/463.18
  6. Step 6: Final answer
    x = 261.81

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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.