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Finding the Fourth Proportional to 496.32, 684.60 and 341.04

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Solution

The fourth proportional to 496.32, 684.60 and 341.04 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 684.60 = 341.04 : x
  2. Step 2: Convert to fraction form
    496.32/684.60 = 341.04/x
  3. Step 3: Cross multiply
    496.32x = 684.60 × 341.04
  4. Step 4: Simplify right side
    496.32x = 233,475.98
  5. Step 5: Solve for x
    x = 233,475.98/496.32
  6. Step 6: Final answer
    x = 470.41

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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.