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Finding the Fourth Proportional to 462.46, 694.35 and 288.62

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Solution

The fourth proportional to 462.46, 694.35 and 288.62 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 694.35 = 288.62 : x
  2. Step 2: Convert to fraction form
    462.46/694.35 = 288.62/x
  3. Step 3: Cross multiply
    462.46x = 694.35 × 288.62
  4. Step 4: Simplify right side
    462.46x = 200,403.30
  5. Step 5: Solve for x
    x = 200,403.30/462.46
  6. Step 6: Final answer
    x = 433.34

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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.