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Finding the Fourth Proportional to 487.22, 730.84 and 414.94

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Solution

The fourth proportional to 487.22, 730.84 and 414.94 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.22 : 730.84 = 414.94 : x
  2. Step 2: Convert to fraction form
    487.22/730.84 = 414.94/x
  3. Step 3: Cross multiply
    487.22x = 730.84 × 414.94
  4. Step 4: Simplify right side
    487.22x = 303,254.75
  5. Step 5: Solve for x
    x = 303,254.75/487.22
  6. Step 6: Final answer
    x = 622.42

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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.