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Finding the Fourth Proportional to 341.28, 471.36 and 264

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Solution

The fourth proportional to 341.28, 471.36 and 264 is: 364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 471.36 = 264 : x
  2. Step 2: Convert to fraction form
    341.28/471.36 = 264/x
  3. Step 3: Cross multiply
    341.28x = 471.36 × 264
  4. Step 4: Simplify right side
    341.28x = 124,439.04
  5. Step 5: Solve for x
    x = 124,439.04/341.28
  6. Step 6: Final answer
    x = 364.62

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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.