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Finding the Fourth Proportional to 386.53, 579.12 and 256.46

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Solution

The fourth proportional to 386.53, 579.12 and 256.46 is: 384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.53 : 579.12 = 256.46 : x
  2. Step 2: Convert to fraction form
    386.53/579.12 = 256.46/x
  3. Step 3: Cross multiply
    386.53x = 579.12 × 256.46
  4. Step 4: Simplify right side
    386.53x = 148,517.26
  5. Step 5: Solve for x
    x = 148,517.26/386.53
  6. Step 6: Final answer
    x = 384.23

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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.