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Finding the Fourth Proportional to 447.36, 669.36 and 264.08

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Solution

The fourth proportional to 447.36, 669.36 and 264.08 is: 395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 669.36 = 264.08 : x
  2. Step 2: Convert to fraction form
    447.36/669.36 = 264.08/x
  3. Step 3: Cross multiply
    447.36x = 669.36 × 264.08
  4. Step 4: Simplify right side
    447.36x = 176,764.59
  5. Step 5: Solve for x
    x = 176,764.59/447.36
  6. Step 6: Final answer
    x = 395.13

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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.