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Finding the Fourth Proportional to 472.11, 707.38 and 454.11

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Solution

The fourth proportional to 472.11, 707.38 and 454.11 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.11 : 707.38 = 454.11 : x
  2. Step 2: Convert to fraction form
    472.11/707.38 = 454.11/x
  3. Step 3: Cross multiply
    472.11x = 707.38 × 454.11
  4. Step 4: Simplify right side
    472.11x = 321,228.33
  5. Step 5: Solve for x
    x = 321,228.33/472.11
  6. Step 6: Final answer
    x = 680.41

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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.