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Finding the Fourth Proportional to 606.40, 908.86 and 432.12

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Solution

The fourth proportional to 606.40, 908.86 and 432.12 is: 647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.40 : 908.86 = 432.12 : x
  2. Step 2: Convert to fraction form
    606.40/908.86 = 432.12/x
  3. Step 3: Cross multiply
    606.40x = 908.86 × 432.12
  4. Step 4: Simplify right side
    606.40x = 392,736.58
  5. Step 5: Solve for x
    x = 392,736.58/606.40
  6. Step 6: Final answer
    x = 647.65

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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.