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Finding the Fourth Proportional to 606.74, 910.65 and 414.50

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Solution

The fourth proportional to 606.74, 910.65 and 414.50 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.74 : 910.65 = 414.50 : x
  2. Step 2: Convert to fraction form
    606.74/910.65 = 414.50/x
  3. Step 3: Cross multiply
    606.74x = 910.65 × 414.50
  4. Step 4: Simplify right side
    606.74x = 377,464.43
  5. Step 5: Solve for x
    x = 377,464.43/606.74
  6. Step 6: Final answer
    x = 622.12

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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.