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Finding the Fourth Proportional to 621.09, 931.85 and 274.38

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Solution

The fourth proportional to 621.09, 931.85 and 274.38 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.09 : 931.85 = 274.38 : x
  2. Step 2: Convert to fraction form
    621.09/931.85 = 274.38/x
  3. Step 3: Cross multiply
    621.09x = 931.85 × 274.38
  4. Step 4: Simplify right side
    621.09x = 255,676.34
  5. Step 5: Solve for x
    x = 255,676.34/621.09
  6. Step 6: Final answer
    x = 411.66

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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.