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Finding the Fourth Proportional to 473.04, 709.62 and 164.88

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Solution

The fourth proportional to 473.04, 709.62 and 164.88 is: 247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 709.62 = 164.88 : x
  2. Step 2: Convert to fraction form
    473.04/709.62 = 164.88/x
  3. Step 3: Cross multiply
    473.04x = 709.62 × 164.88
  4. Step 4: Simplify right side
    473.04x = 117,002.15
  5. Step 5: Solve for x
    x = 117,002.15/473.04
  6. Step 6: Final answer
    x = 247.34

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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.