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Finding the Fourth Proportional to 341.64, 470.44 and 292.48

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Solution

The fourth proportional to 341.64, 470.44 and 292.48 is: 402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 470.44 = 292.48 : x
  2. Step 2: Convert to fraction form
    341.64/470.44 = 292.48/x
  3. Step 3: Cross multiply
    341.64x = 470.44 × 292.48
  4. Step 4: Simplify right side
    341.64x = 137,594.29
  5. Step 5: Solve for x
    x = 137,594.29/341.64
  6. Step 6: Final answer
    x = 402.75

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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.