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Finding the Fourth Proportional to 606.38, 836.64 and 457.07

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Solution

The fourth proportional to 606.38, 836.64 and 457.07 is: 630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.38 : 836.64 = 457.07 : x
  2. Step 2: Convert to fraction form
    606.38/836.64 = 457.07/x
  3. Step 3: Cross multiply
    606.38x = 836.64 × 457.07
  4. Step 4: Simplify right side
    606.38x = 382,398.86
  5. Step 5: Solve for x
    x = 382,398.86/606.38
  6. Step 6: Final answer
    x = 630.63

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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.