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Finding the Fourth Proportional to 386.17, 578.14 and 256.30

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Solution

The fourth proportional to 386.17, 578.14 and 256.30 is: 383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 578.14 = 256.30 : x
  2. Step 2: Convert to fraction form
    386.17/578.14 = 256.30/x
  3. Step 3: Cross multiply
    386.17x = 578.14 × 256.30
  4. Step 4: Simplify right side
    386.17x = 148,175.20
  5. Step 5: Solve for x
    x = 148,175.20/386.17
  6. Step 6: Final answer
    x = 383.71

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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.