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Finding the Fourth Proportional to 487.73, 731.71 and 333.73

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Solution

The fourth proportional to 487.73, 731.71 and 333.73 is: 500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.73 : 731.71 = 333.73 : x
  2. Step 2: Convert to fraction form
    487.73/731.71 = 333.73/x
  3. Step 3: Cross multiply
    487.73x = 731.71 × 333.73
  4. Step 4: Simplify right side
    487.73x = 244,192.66
  5. Step 5: Solve for x
    x = 244,192.66/487.73
  6. Step 6: Final answer
    x = 500.67

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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.