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Finding the Fourth Proportional to 473.28, 709.75 and 165.05

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Solution

The fourth proportional to 473.28, 709.75 and 165.05 is: 247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 709.75 = 165.05 : x
  2. Step 2: Convert to fraction form
    473.28/709.75 = 165.05/x
  3. Step 3: Cross multiply
    473.28x = 709.75 × 165.05
  4. Step 4: Simplify right side
    473.28x = 117,144.32
  5. Step 5: Solve for x
    x = 117,144.32/473.28
  6. Step 6: Final answer
    x = 247.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.