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Finding the Fourth Proportional to 344.96, 517.26 and 256.58

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Solution

The fourth proportional to 344.96, 517.26 and 256.58 is: 384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.96 : 517.26 = 256.58 : x
  2. Step 2: Convert to fraction form
    344.96/517.26 = 256.58/x
  3. Step 3: Cross multiply
    344.96x = 517.26 × 256.58
  4. Step 4: Simplify right side
    344.96x = 132,718.57
  5. Step 5: Solve for x
    x = 132,718.57/344.96
  6. Step 6: Final answer
    x = 384.74

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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.