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Finding the Fourth Proportional to 386.50, 533.07 and 324.94

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Solution

The fourth proportional to 386.50, 533.07 and 324.94 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 533.07 = 324.94 : x
  2. Step 2: Convert to fraction form
    386.50/533.07 = 324.94/x
  3. Step 3: Cross multiply
    386.50x = 533.07 × 324.94
  4. Step 4: Simplify right side
    386.50x = 173,215.77
  5. Step 5: Solve for x
    x = 173,215.77/386.50
  6. Step 6: Final answer
    x = 448.16

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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.