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Finding the Fourth Proportional to 472.69, 709.35 and 164.54

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Solution

The fourth proportional to 472.69, 709.35 and 164.54 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.69 : 709.35 = 164.54 : x
  2. Step 2: Convert to fraction form
    472.69/709.35 = 164.54/x
  3. Step 3: Cross multiply
    472.69x = 709.35 × 164.54
  4. Step 4: Simplify right side
    472.69x = 116,714.08
  5. Step 5: Solve for x
    x = 116,714.08/472.69
  6. Step 6: Final answer
    x = 246.92

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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.