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Finding the Fourth Proportional to 386.80, 534.34 and 300.58

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Solution

The fourth proportional to 386.80, 534.34 and 300.58 is: 415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.80 : 534.34 = 300.58 : x
  2. Step 2: Convert to fraction form
    386.80/534.34 = 300.58/x
  3. Step 3: Cross multiply
    386.80x = 534.34 × 300.58
  4. Step 4: Simplify right side
    386.80x = 160,611.92
  5. Step 5: Solve for x
    x = 160,611.92/386.80
  6. Step 6: Final answer
    x = 415.23

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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.