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Finding the Fourth Proportional to 386.11, 532.89 and 288.14

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Solution

The fourth proportional to 386.11, 532.89 and 288.14 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.11 : 532.89 = 288.14 : x
  2. Step 2: Convert to fraction form
    386.11/532.89 = 288.14/x
  3. Step 3: Cross multiply
    386.11x = 532.89 × 288.14
  4. Step 4: Simplify right side
    386.11x = 153,548.26
  5. Step 5: Solve for x
    x = 153,548.26/386.11
  6. Step 6: Final answer
    x = 397.68

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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.