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Finding the Fourth Proportional to 462.98, 694.47 and 154.83

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Solution

The fourth proportional to 462.98, 694.47 and 154.83 is: 232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 694.47 = 154.83 : x
  2. Step 2: Convert to fraction form
    462.98/694.47 = 154.83/x
  3. Step 3: Cross multiply
    462.98x = 694.47 × 154.83
  4. Step 4: Simplify right side
    462.98x = 107,526.14
  5. Step 5: Solve for x
    x = 107,526.14/462.98
  6. Step 6: Final answer
    x = 232.25

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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.