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Finding the Fourth Proportional to 386.68, 533.82 and 255.64

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Solution

The fourth proportional to 386.68, 533.82 and 255.64 is: 352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 533.82 = 255.64 : x
  2. Step 2: Convert to fraction form
    386.68/533.82 = 255.64/x
  3. Step 3: Cross multiply
    386.68x = 533.82 × 255.64
  4. Step 4: Simplify right side
    386.68x = 136,465.74
  5. Step 5: Solve for x
    x = 136,465.74/386.68
  6. Step 6: Final answer
    x = 352.92

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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.