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Finding the Fourth Proportional to 613.96, 847.47 and 456.82

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Solution

The fourth proportional to 613.96, 847.47 and 456.82 is: 630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.96 : 847.47 = 456.82 : x
  2. Step 2: Convert to fraction form
    613.96/847.47 = 456.82/x
  3. Step 3: Cross multiply
    613.96x = 847.47 × 456.82
  4. Step 4: Simplify right side
    613.96x = 387,141.25
  5. Step 5: Solve for x
    x = 387,141.25/613.96
  6. Step 6: Final answer
    x = 630.56

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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.