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Finding the Fourth Proportional to 386.33, 532.76 and 342.09

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Solution

The fourth proportional to 386.33, 532.76 and 342.09 is: 471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 532.76 = 342.09 : x
  2. Step 2: Convert to fraction form
    386.33/532.76 = 342.09/x
  3. Step 3: Cross multiply
    386.33x = 532.76 × 342.09
  4. Step 4: Simplify right side
    386.33x = 182,250.16
  5. Step 5: Solve for x
    x = 182,250.16/386.33
  6. Step 6: Final answer
    x = 471.75

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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.