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Finding the Fourth Proportional to 447.16, 670.77 and 414.37

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Solution

The fourth proportional to 447.16, 670.77 and 414.37 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 670.77 = 414.37 : x
  2. Step 2: Convert to fraction form
    447.16/670.77 = 414.37/x
  3. Step 3: Cross multiply
    447.16x = 670.77 × 414.37
  4. Step 4: Simplify right side
    447.16x = 277,946.96
  5. Step 5: Solve for x
    x = 277,946.96/447.16
  6. Step 6: Final answer
    x = 621.58

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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.