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Finding the Fourth Proportional to 343.57, 473.44 and 264.90

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Solution

The fourth proportional to 343.57, 473.44 and 264.90 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.57 : 473.44 = 264.90 : x
  2. Step 2: Convert to fraction form
    343.57/473.44 = 264.90/x
  3. Step 3: Cross multiply
    343.57x = 473.44 × 264.90
  4. Step 4: Simplify right side
    343.57x = 125,414.26
  5. Step 5: Solve for x
    x = 125,414.26/343.57
  6. Step 6: Final answer
    x = 365.03

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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.