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Finding the Fourth Proportional to 462.45, 693.16 and 231.53

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Solution

The fourth proportional to 462.45, 693.16 and 231.53 is: 347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.16 = 231.53 : x
  2. Step 2: Convert to fraction form
    462.45/693.16 = 231.53/x
  3. Step 3: Cross multiply
    462.45x = 693.16 × 231.53
  4. Step 4: Simplify right side
    462.45x = 160,487.19
  5. Step 5: Solve for x
    x = 160,487.19/462.45
  6. Step 6: Final answer
    x = 347.04

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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.