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Finding the Fourth Proportional to 472.91, 709.29 and 164.77

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Solution

The fourth proportional to 472.91, 709.29 and 164.77 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.91 : 709.29 = 164.77 : x
  2. Step 2: Convert to fraction form
    472.91/709.29 = 164.77/x
  3. Step 3: Cross multiply
    472.91x = 709.29 × 164.77
  4. Step 4: Simplify right side
    472.91x = 116,867.94
  5. Step 5: Solve for x
    x = 116,867.94/472.91
  6. Step 6: Final answer
    x = 247.13

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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.