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Finding the Fourth Proportional to 606.16, 908.49 and 431.88

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Solution

The fourth proportional to 606.16, 908.49 and 431.88 is: 647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.16 : 908.49 = 431.88 : x
  2. Step 2: Convert to fraction form
    606.16/908.49 = 431.88/x
  3. Step 3: Cross multiply
    606.16x = 908.49 × 431.88
  4. Step 4: Simplify right side
    606.16x = 392,351.96
  5. Step 5: Solve for x
    x = 392,351.96/606.16
  6. Step 6: Final answer
    x = 647.28

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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.