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Finding the Fourth Proportional to 386.02, 532.72 and 220.23

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Solution

The fourth proportional to 386.02, 532.72 and 220.23 is: 303.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 532.72 = 220.23 : x
  2. Step 2: Convert to fraction form
    386.02/532.72 = 220.23/x
  3. Step 3: Cross multiply
    386.02x = 532.72 × 220.23
  4. Step 4: Simplify right side
    386.02x = 117,320.93
  5. Step 5: Solve for x
    x = 117,320.93/386.02
  6. Step 6: Final answer
    x = 303.92

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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.