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Finding the Fourth Proportional to 386.64, 533.40 and 220.71

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Solution

The fourth proportional to 386.64, 533.40 and 220.71 is: 304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.64 : 533.40 = 220.71 : x
  2. Step 2: Convert to fraction form
    386.64/533.40 = 220.71/x
  3. Step 3: Cross multiply
    386.64x = 533.40 × 220.71
  4. Step 4: Simplify right side
    386.64x = 117,726.71
  5. Step 5: Solve for x
    x = 117,726.71/386.64
  6. Step 6: Final answer
    x = 304.49

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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.