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Finding the Fourth Proportional to 304.25, 456.38 and 258.48

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Solution

The fourth proportional to 304.25, 456.38 and 258.48 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.25 : 456.38 = 258.48 : x
  2. Step 2: Convert to fraction form
    304.25/456.38 = 258.48/x
  3. Step 3: Cross multiply
    304.25x = 456.38 × 258.48
  4. Step 4: Simplify right side
    304.25x = 117,963.81
  5. Step 5: Solve for x
    x = 117,963.81/304.25
  6. Step 6: Final answer
    x = 387.73

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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.