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Finding the Fourth Proportional to 386.90, 532.75 and 334.34

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Solution

The fourth proportional to 386.90, 532.75 and 334.34 is: 460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 532.75 = 334.34 : x
  2. Step 2: Convert to fraction form
    386.90/532.75 = 334.34/x
  3. Step 3: Cross multiply
    386.90x = 532.75 × 334.34
  4. Step 4: Simplify right side
    386.90x = 178,120.13
  5. Step 5: Solve for x
    x = 178,120.13/386.90
  6. Step 6: Final answer
    x = 460.38

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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.