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Finding the Fourth Proportional to 512.42, 708.60 and 490.68

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Solution

The fourth proportional to 512.42, 708.60 and 490.68 is: 678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 708.60 = 490.68 : x
  2. Step 2: Convert to fraction form
    512.42/708.60 = 490.68/x
  3. Step 3: Cross multiply
    512.42x = 708.60 × 490.68
  4. Step 4: Simplify right side
    512.42x = 347,695.85
  5. Step 5: Solve for x
    x = 347,695.85/512.42
  6. Step 6: Final answer
    x = 678.54

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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.