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Finding the Fourth Proportional to 447.42, 669.77 and 264.26

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Solution

The fourth proportional to 447.42, 669.77 and 264.26 is: 395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 669.77 = 264.26 : x
  2. Step 2: Convert to fraction form
    447.42/669.77 = 264.26/x
  3. Step 3: Cross multiply
    447.42x = 669.77 × 264.26
  4. Step 4: Simplify right side
    447.42x = 176,994.76
  5. Step 5: Solve for x
    x = 176,994.76/447.42
  6. Step 6: Final answer
    x = 395.59

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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.