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Finding the Fourth Proportional to 462.27, 693.62 and 188.56

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Solution

The fourth proportional to 462.27, 693.62 and 188.56 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.27 : 693.62 = 188.56 : x
  2. Step 2: Convert to fraction form
    462.27/693.62 = 188.56/x
  3. Step 3: Cross multiply
    462.27x = 693.62 × 188.56
  4. Step 4: Simplify right side
    462.27x = 130,788.99
  5. Step 5: Solve for x
    x = 130,788.99/462.27
  6. Step 6: Final answer
    x = 282.93

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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.