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Finding the Fourth Proportional to 531.17, 796.05 and 256.88

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Solution

The fourth proportional to 531.17, 796.05 and 256.88 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.17 : 796.05 = 256.88 : x
  2. Step 2: Convert to fraction form
    531.17/796.05 = 256.88/x
  3. Step 3: Cross multiply
    531.17x = 796.05 × 256.88
  4. Step 4: Simplify right side
    531.17x = 204,491.31
  5. Step 5: Solve for x
    x = 204,491.31/531.17
  6. Step 6: Final answer
    x = 384.99

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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.