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Finding the Fourth Proportional to 472.48, 708.80 and 164.34

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Solution

The fourth proportional to 472.48, 708.80 and 164.34 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 708.80 = 164.34 : x
  2. Step 2: Convert to fraction form
    472.48/708.80 = 164.34/x
  3. Step 3: Cross multiply
    472.48x = 708.80 × 164.34
  4. Step 4: Simplify right side
    472.48x = 116,484.60
  5. Step 5: Solve for x
    x = 116,484.60/472.48
  6. Step 6: Final answer
    x = 246.54

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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.