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Finding the Fourth Proportional to 620.78, 931.39 and 447.64

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Solution

The fourth proportional to 620.78, 931.39 and 447.64 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.78 : 931.39 = 447.64 : x
  2. Step 2: Convert to fraction form
    620.78/931.39 = 447.64/x
  3. Step 3: Cross multiply
    620.78x = 931.39 × 447.64
  4. Step 4: Simplify right side
    620.78x = 416,925.65
  5. Step 5: Solve for x
    x = 416,925.65/620.78
  6. Step 6: Final answer
    x = 671.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.