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Finding the Fourth Proportional to 386.02, 532.88 and 323.85

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Solution

The fourth proportional to 386.02, 532.88 and 323.85 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 532.88 = 323.85 : x
  2. Step 2: Convert to fraction form
    386.02/532.88 = 323.85/x
  3. Step 3: Cross multiply
    386.02x = 532.88 × 323.85
  4. Step 4: Simplify right side
    386.02x = 172,573.19
  5. Step 5: Solve for x
    x = 172,573.19/386.02
  6. Step 6: Final answer
    x = 447.06

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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.