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Finding the Fourth Proportional to 620.94, 931.71 and 274.23

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Solution

The fourth proportional to 620.94, 931.71 and 274.23 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.94 : 931.71 = 274.23 : x
  2. Step 2: Convert to fraction form
    620.94/931.71 = 274.23/x
  3. Step 3: Cross multiply
    620.94x = 931.71 × 274.23
  4. Step 4: Simplify right side
    620.94x = 255,502.83
  5. Step 5: Solve for x
    x = 255,502.83/620.94
  6. Step 6: Final answer
    x = 411.48

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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.