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Finding the Fourth Proportional to 344.72, 518.82 and 258.52

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Solution

The fourth proportional to 344.72, 518.82 and 258.52 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 518.82 = 258.52 : x
  2. Step 2: Convert to fraction form
    344.72/518.82 = 258.52/x
  3. Step 3: Cross multiply
    344.72x = 518.82 × 258.52
  4. Step 4: Simplify right side
    344.72x = 134,124.05
  5. Step 5: Solve for x
    x = 134,124.05/344.72
  6. Step 6: Final answer
    x = 389.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.