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Finding the Fourth Proportional to 472.54, 707.62 and 298.68

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Solution

The fourth proportional to 472.54, 707.62 and 298.68 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.54 : 707.62 = 298.68 : x
  2. Step 2: Convert to fraction form
    472.54/707.62 = 298.68/x
  3. Step 3: Cross multiply
    472.54x = 707.62 × 298.68
  4. Step 4: Simplify right side
    472.54x = 211,351.94
  5. Step 5: Solve for x
    x = 211,351.94/472.54
  6. Step 6: Final answer
    x = 447.27

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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.