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Finding the Fourth Proportional to 462.79, 694.26 and 154.66

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Solution

The fourth proportional to 462.79, 694.26 and 154.66 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.79 : 694.26 = 154.66 : x
  2. Step 2: Convert to fraction form
    462.79/694.26 = 154.66/x
  3. Step 3: Cross multiply
    462.79x = 694.26 × 154.66
  4. Step 4: Simplify right side
    462.79x = 107,370.01
  5. Step 5: Solve for x
    x = 107,370.01/462.79
  6. Step 6: Final answer
    x = 232.01

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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.