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Finding the Fourth Proportional to 487.05, 730.96 and 213.33

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Solution

The fourth proportional to 487.05, 730.96 and 213.33 is: 320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.05 : 730.96 = 213.33 : x
  2. Step 2: Convert to fraction form
    487.05/730.96 = 213.33/x
  3. Step 3: Cross multiply
    487.05x = 730.96 × 213.33
  4. Step 4: Simplify right side
    487.05x = 155,938.80
  5. Step 5: Solve for x
    x = 155,938.80/487.05
  6. Step 6: Final answer
    x = 320.17

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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.