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Finding the Fourth Proportional to 472.76, 709.14 and 164.64

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Solution

The fourth proportional to 472.76, 709.14 and 164.64 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 709.14 = 164.64 : x
  2. Step 2: Convert to fraction form
    472.76/709.14 = 164.64/x
  3. Step 3: Cross multiply
    472.76x = 709.14 × 164.64
  4. Step 4: Simplify right side
    472.76x = 116,752.81
  5. Step 5: Solve for x
    x = 116,752.81/472.76
  6. Step 6: Final answer
    x = 246.96

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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.