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Finding the Fourth Proportional to 473.13, 709.25 and 164.84

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Solution

The fourth proportional to 473.13, 709.25 and 164.84 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 709.25 = 164.84 : x
  2. Step 2: Convert to fraction form
    473.13/709.25 = 164.84/x
  3. Step 3: Cross multiply
    473.13x = 709.25 × 164.84
  4. Step 4: Simplify right side
    473.13x = 116,908.40
  5. Step 5: Solve for x
    x = 116,908.40/473.13
  6. Step 6: Final answer
    x = 247.10

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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.