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Finding the Fourth Proportional to 386.72, 579.04 and 258.08

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Solution

The fourth proportional to 386.72, 579.04 and 258.08 is: 386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.72 : 579.04 = 258.08 : x
  2. Step 2: Convert to fraction form
    386.72/579.04 = 258.08/x
  3. Step 3: Cross multiply
    386.72x = 579.04 × 258.08
  4. Step 4: Simplify right side
    386.72x = 149,438.64
  5. Step 5: Solve for x
    x = 149,438.64/386.72
  6. Step 6: Final answer
    x = 386.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.