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Finding the Fourth Proportional to 463.34, 694.92 and 171.02

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Solution

The fourth proportional to 463.34, 694.92 and 171.02 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.34 : 694.92 = 171.02 : x
  2. Step 2: Convert to fraction form
    463.34/694.92 = 171.02/x
  3. Step 3: Cross multiply
    463.34x = 694.92 × 171.02
  4. Step 4: Simplify right side
    463.34x = 118,845.22
  5. Step 5: Solve for x
    x = 118,845.22/463.34
  6. Step 6: Final answer
    x = 256.50

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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.