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Finding the Fourth Proportional to 473.07, 709.46 and 164.86

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Solution

The fourth proportional to 473.07, 709.46 and 164.86 is: 247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.07 : 709.46 = 164.86 : x
  2. Step 2: Convert to fraction form
    473.07/709.46 = 164.86/x
  3. Step 3: Cross multiply
    473.07x = 709.46 × 164.86
  4. Step 4: Simplify right side
    473.07x = 116,961.59
  5. Step 5: Solve for x
    x = 116,961.59/473.07
  6. Step 6: Final answer
    x = 247.24

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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.