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Finding the Fourth Proportional to 486.85, 730.27 and 414.56

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Solution

The fourth proportional to 486.85, 730.27 and 414.56 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.85 : 730.27 = 414.56 : x
  2. Step 2: Convert to fraction form
    486.85/730.27 = 414.56/x
  3. Step 3: Cross multiply
    486.85x = 730.27 × 414.56
  4. Step 4: Simplify right side
    486.85x = 302,740.73
  5. Step 5: Solve for x
    x = 302,740.73/486.85
  6. Step 6: Final answer
    x = 621.84

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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.