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Finding the Fourth Proportional to 496.13, 684.05 and 385.16

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Solution

The fourth proportional to 496.13, 684.05 and 385.16 is: 531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.13 : 684.05 = 385.16 : x
  2. Step 2: Convert to fraction form
    496.13/684.05 = 385.16/x
  3. Step 3: Cross multiply
    496.13x = 684.05 × 385.16
  4. Step 4: Simplify right side
    496.13x = 263,463.35
  5. Step 5: Solve for x
    x = 263,463.35/496.13
  6. Step 6: Final answer
    x = 531.04

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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.