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Finding the Fourth Proportional to 341.15, 470.36 and 288.60

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Solution

The fourth proportional to 341.15, 470.36 and 288.60 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.15 : 470.36 = 288.60 : x
  2. Step 2: Convert to fraction form
    341.15/470.36 = 288.60/x
  3. Step 3: Cross multiply
    341.15x = 470.36 × 288.60
  4. Step 4: Simplify right side
    341.15x = 135,745.90
  5. Step 5: Solve for x
    x = 135,745.90/341.15
  6. Step 6: Final answer
    x = 397.91

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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.