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Finding the Fourth Proportional to 472.04, 707.89 and 163.84

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Solution

The fourth proportional to 472.04, 707.89 and 163.84 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.04 : 707.89 = 163.84 : x
  2. Step 2: Convert to fraction form
    472.04/707.89 = 163.84/x
  3. Step 3: Cross multiply
    472.04x = 707.89 × 163.84
  4. Step 4: Simplify right side
    472.04x = 115,980.70
  5. Step 5: Solve for x
    x = 115,980.70/472.04
  6. Step 6: Final answer
    x = 245.70

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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.