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Finding the Fourth Proportional to 621.68, 932.62 and 256.26

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Solution

The fourth proportional to 621.68, 932.62 and 256.26 is: 384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.68 : 932.62 = 256.26 : x
  2. Step 2: Convert to fraction form
    621.68/932.62 = 256.26/x
  3. Step 3: Cross multiply
    621.68x = 932.62 × 256.26
  4. Step 4: Simplify right side
    621.68x = 238,993.20
  5. Step 5: Solve for x
    x = 238,993.20/621.68
  6. Step 6: Final answer
    x = 384.43

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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.