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Finding the Fourth Proportional to 472.65, 709.08 and 164.52

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Solution

The fourth proportional to 472.65, 709.08 and 164.52 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 709.08 = 164.52 : x
  2. Step 2: Convert to fraction form
    472.65/709.08 = 164.52/x
  3. Step 3: Cross multiply
    472.65x = 709.08 × 164.52
  4. Step 4: Simplify right side
    472.65x = 116,657.84
  5. Step 5: Solve for x
    x = 116,657.84/472.65
  6. Step 6: Final answer
    x = 246.82

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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.