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Finding the Fourth Proportional to 380.75, 525.76 and 256.82

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Solution

The fourth proportional to 380.75, 525.76 and 256.82 is: 354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 525.76 = 256.82 : x
  2. Step 2: Convert to fraction form
    380.75/525.76 = 256.82/x
  3. Step 3: Cross multiply
    380.75x = 525.76 × 256.82
  4. Step 4: Simplify right side
    380.75x = 135,024.89
  5. Step 5: Solve for x
    x = 135,024.89/380.75
  6. Step 6: Final answer
    x = 354.63

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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.