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Finding the Fourth Proportional to 473.28, 652.82 and 305.44

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Solution

The fourth proportional to 473.28, 652.82 and 305.44 is: 421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 652.82 = 305.44 : x
  2. Step 2: Convert to fraction form
    473.28/652.82 = 305.44/x
  3. Step 3: Cross multiply
    473.28x = 652.82 × 305.44
  4. Step 4: Simplify right side
    473.28x = 199,399.14
  5. Step 5: Solve for x
    x = 199,399.14/473.28
  6. Step 6: Final answer
    x = 421.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.