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Finding the Fourth Proportional to 380.54, 524.82 and 256.14

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Solution

The fourth proportional to 380.54, 524.82 and 256.14 is: 353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.54 : 524.82 = 256.14 : x
  2. Step 2: Convert to fraction form
    380.54/524.82 = 256.14/x
  3. Step 3: Cross multiply
    380.54x = 524.82 × 256.14
  4. Step 4: Simplify right side
    380.54x = 134,427.39
  5. Step 5: Solve for x
    x = 134,427.39/380.54
  6. Step 6: Final answer
    x = 353.26

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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.