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Finding the Fourth Proportional to 386.46, 533.35 and 220.68

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Solution

The fourth proportional to 386.46, 533.35 and 220.68 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 533.35 = 220.68 : x
  2. Step 2: Convert to fraction form
    386.46/533.35 = 220.68/x
  3. Step 3: Cross multiply
    386.46x = 533.35 × 220.68
  4. Step 4: Simplify right side
    386.46x = 117,699.68
  5. Step 5: Solve for x
    x = 117,699.68/386.46
  6. Step 6: Final answer
    x = 304.56

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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.