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Finding the Fourth Proportional to 487.82, 730.52 and 409.76

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Solution

The fourth proportional to 487.82, 730.52 and 409.76 is: 613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.82 : 730.52 = 409.76 : x
  2. Step 2: Convert to fraction form
    487.82/730.52 = 409.76/x
  3. Step 3: Cross multiply
    487.82x = 730.52 × 409.76
  4. Step 4: Simplify right side
    487.82x = 299,336.45
  5. Step 5: Solve for x
    x = 299,336.45/487.82
  6. Step 6: Final answer
    x = 613.62

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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.