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Finding the Fourth Proportional to 463.24, 694.55 and 232.01

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Solution

The fourth proportional to 463.24, 694.55 and 232.01 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.24 : 694.55 = 232.01 : x
  2. Step 2: Convert to fraction form
    463.24/694.55 = 232.01/x
  3. Step 3: Cross multiply
    463.24x = 694.55 × 232.01
  4. Step 4: Simplify right side
    463.24x = 161,139.65
  5. Step 5: Solve for x
    x = 161,139.65/463.24
  6. Step 6: Final answer
    x = 347.86

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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.