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Finding the Fourth Proportional to 908.94, 1,363.46 and 415.16

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Solution

The fourth proportional to 908.94, 1,363.46 and 415.16 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.94 : 1,363.46 = 415.16 : x
  2. Step 2: Convert to fraction form
    908.94/1,363.46 = 415.16/x
  3. Step 3: Cross multiply
    908.94x = 1,363.46 × 415.16
  4. Step 4: Simplify right side
    908.94x = 566,045.16
  5. Step 5: Solve for x
    x = 566,045.16/908.94
  6. Step 6: Final answer
    x = 622.75

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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.