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Finding the Fourth Proportional to 621.18, 931.41 and 256.22

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Solution

The fourth proportional to 621.18, 931.41 and 256.22 is: 384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.18 : 931.41 = 256.22 : x
  2. Step 2: Convert to fraction form
    621.18/931.41 = 256.22/x
  3. Step 3: Cross multiply
    621.18x = 931.41 × 256.22
  4. Step 4: Simplify right side
    621.18x = 238,645.87
  5. Step 5: Solve for x
    x = 238,645.87/621.18
  6. Step 6: Final answer
    x = 384.18

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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.