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Finding the Fourth Proportional to 380.22, 524.76 and 256.08

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Solution

The fourth proportional to 380.22, 524.76 and 256.08 is: 353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 524.76 = 256.08 : x
  2. Step 2: Convert to fraction form
    380.22/524.76 = 256.08/x
  3. Step 3: Cross multiply
    380.22x = 524.76 × 256.08
  4. Step 4: Simplify right side
    380.22x = 134,380.54
  5. Step 5: Solve for x
    x = 134,380.54/380.22
  6. Step 6: Final answer
    x = 353.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.