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Finding the Fourth Proportional to 447.86, 670.03 and 395.91

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Solution

The fourth proportional to 447.86, 670.03 and 395.91 is: 592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.86 : 670.03 = 395.91 : x
  2. Step 2: Convert to fraction form
    447.86/670.03 = 395.91/x
  3. Step 3: Cross multiply
    447.86x = 670.03 × 395.91
  4. Step 4: Simplify right side
    447.86x = 265,270.59
  5. Step 5: Solve for x
    x = 265,270.59/447.86
  6. Step 6: Final answer
    x = 592.31

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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.