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Finding the Fourth Proportional to 908.25, 1,362.83 and 414.60

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Solution

The fourth proportional to 908.25, 1,362.83 and 414.60 is: 622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.25 : 1,362.83 = 414.60 : x
  2. Step 2: Convert to fraction form
    908.25/1,362.83 = 414.60/x
  3. Step 3: Cross multiply
    908.25x = 1,362.83 × 414.60
  4. Step 4: Simplify right side
    908.25x = 565,030.35
  5. Step 5: Solve for x
    x = 565,030.35/908.25
  6. Step 6: Final answer
    x = 622.11

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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.