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Finding the Fourth Proportional to 621.81, 932.01 and 256.41

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Solution

The fourth proportional to 621.81, 932.01 and 256.41 is: 384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.81 : 932.01 = 256.41 : x
  2. Step 2: Convert to fraction form
    621.81/932.01 = 256.41/x
  3. Step 3: Cross multiply
    621.81x = 932.01 × 256.41
  4. Step 4: Simplify right side
    621.81x = 238,976.68
  5. Step 5: Solve for x
    x = 238,976.68/621.81
  6. Step 6: Final answer
    x = 384.32

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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.