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Finding the Fourth Proportional to 386.24, 532.76 and 246.40

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Solution

The fourth proportional to 386.24, 532.76 and 246.40 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 532.76 = 246.40 : x
  2. Step 2: Convert to fraction form
    386.24/532.76 = 246.40/x
  3. Step 3: Cross multiply
    386.24x = 532.76 × 246.40
  4. Step 4: Simplify right side
    386.24x = 131,272.06
  5. Step 5: Solve for x
    x = 131,272.06/386.24
  6. Step 6: Final answer
    x = 339.87

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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.