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Finding the Fourth Proportional to 621.50, 932.50 and 274.66

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Solution

The fourth proportional to 621.50, 932.50 and 274.66 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.50 : 932.50 = 274.66 : x
  2. Step 2: Convert to fraction form
    621.50/932.50 = 274.66/x
  3. Step 3: Cross multiply
    621.50x = 932.50 × 274.66
  4. Step 4: Simplify right side
    621.50x = 256,120.45
  5. Step 5: Solve for x
    x = 256,120.45/621.50
  6. Step 6: Final answer
    x = 412.10

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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.