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Finding the Fourth Proportional to 620.96, 931.50 and 274.14

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Solution

The fourth proportional to 620.96, 931.50 and 274.14 is: 411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.96 : 931.50 = 274.14 : x
  2. Step 2: Convert to fraction form
    620.96/931.50 = 274.14/x
  3. Step 3: Cross multiply
    620.96x = 931.50 × 274.14
  4. Step 4: Simplify right side
    620.96x = 255,361.41
  5. Step 5: Solve for x
    x = 255,361.41/620.96
  6. Step 6: Final answer
    x = 411.24

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Why These Related Problems?

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