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Finding the Fourth Proportional to 472.75, 709.05 and 164.58

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Solution

The fourth proportional to 472.75, 709.05 and 164.58 is: 246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 709.05 = 164.58 : x
  2. Step 2: Convert to fraction form
    472.75/709.05 = 164.58/x
  3. Step 3: Cross multiply
    472.75x = 709.05 × 164.58
  4. Step 4: Simplify right side
    472.75x = 116,693.41
  5. Step 5: Solve for x
    x = 116,693.41/472.75
  6. Step 6: Final answer
    x = 246.84

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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.