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Finding the Fourth Proportional to 344.57, 515.27 and 256.88

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Solution

The fourth proportional to 344.57, 515.27 and 256.88 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 515.27 = 256.88 : x
  2. Step 2: Convert to fraction form
    344.57/515.27 = 256.88/x
  3. Step 3: Cross multiply
    344.57x = 515.27 × 256.88
  4. Step 4: Simplify right side
    344.57x = 132,358.70
  5. Step 5: Solve for x
    x = 132,358.70/344.57
  6. Step 6: Final answer
    x = 384.13

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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.