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Finding the Fourth Proportional to 301.08, 450.84 and 258.03

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Solution

The fourth proportional to 301.08, 450.84 and 258.03 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 450.84 = 258.03 : x
  2. Step 2: Convert to fraction form
    301.08/450.84 = 258.03/x
  3. Step 3: Cross multiply
    301.08x = 450.84 × 258.03
  4. Step 4: Simplify right side
    301.08x = 116,329.52
  5. Step 5: Solve for x
    x = 116,329.52/301.08
  6. Step 6: Final answer
    x = 386.37

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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.