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Finding the Fourth Proportional to 472.00, 707.76 and 163.77

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Solution

The fourth proportional to 472.00, 707.76 and 163.77 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.00 : 707.76 = 163.77 : x
  2. Step 2: Convert to fraction form
    472.00/707.76 = 163.77/x
  3. Step 3: Cross multiply
    472.00x = 707.76 × 163.77
  4. Step 4: Simplify right side
    472.00x = 115,910.47
  5. Step 5: Solve for x
    x = 115,910.47/472.00
  6. Step 6: Final answer
    x = 245.57

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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.