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Finding the Fourth Proportional to 874.51, 1,311.56 and 258.26

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Solution

The fourth proportional to 874.51, 1,311.56 and 258.26 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.51 : 1,311.56 = 258.26 : x
  2. Step 2: Convert to fraction form
    874.51/1,311.56 = 258.26/x
  3. Step 3: Cross multiply
    874.51x = 1,311.56 × 258.26
  4. Step 4: Simplify right side
    874.51x = 338,716.93
  5. Step 5: Solve for x
    x = 338,716.93/874.51
  6. Step 6: Final answer
    x = 387.32

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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.