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Finding the Fourth Proportional to 462.50, 693.69 and 289.18

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Solution

The fourth proportional to 462.50, 693.69 and 289.18 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.50 : 693.69 = 289.18 : x
  2. Step 2: Convert to fraction form
    462.50/693.69 = 289.18/x
  3. Step 3: Cross multiply
    462.50x = 693.69 × 289.18
  4. Step 4: Simplify right side
    462.50x = 200,601.27
  5. Step 5: Solve for x
    x = 200,601.27/462.50
  6. Step 6: Final answer
    x = 433.73

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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.