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Finding the Fourth Proportional to 606.21, 836.87 and 463.25

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Solution

The fourth proportional to 606.21, 836.87 and 463.25 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.21 : 836.87 = 463.25 : x
  2. Step 2: Convert to fraction form
    606.21/836.87 = 463.25/x
  3. Step 3: Cross multiply
    606.21x = 836.87 × 463.25
  4. Step 4: Simplify right side
    606.21x = 387,673.53
  5. Step 5: Solve for x
    x = 387,673.53/606.21
  6. Step 6: Final answer
    x = 639.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.