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Finding the Fourth Proportional to 496.86, 684.90 and 372.12

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Solution

The fourth proportional to 496.86, 684.90 and 372.12 is: 512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 684.90 = 372.12 : x
  2. Step 2: Convert to fraction form
    496.86/684.90 = 372.12/x
  3. Step 3: Cross multiply
    496.86x = 684.90 × 372.12
  4. Step 4: Simplify right side
    496.86x = 254,864.99
  5. Step 5: Solve for x
    x = 254,864.99/496.86
  6. Step 6: Final answer
    x = 512.95

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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.