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Finding the Fourth Proportional to 487.54, 730.84 and 213.58

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Solution

The fourth proportional to 487.54, 730.84 and 213.58 is: 320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.54 : 730.84 = 213.58 : x
  2. Step 2: Convert to fraction form
    487.54/730.84 = 213.58/x
  3. Step 3: Cross multiply
    487.54x = 730.84 × 213.58
  4. Step 4: Simplify right side
    487.54x = 156,092.81
  5. Step 5: Solve for x
    x = 156,092.81/487.54
  6. Step 6: Final answer
    x = 320.16

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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.