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Finding the Fourth Proportional to 867.85, 1,301.41 and 290.59

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Solution

The fourth proportional to 867.85, 1,301.41 and 290.59 is: 435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.85 : 1,301.41 = 290.59 : x
  2. Step 2: Convert to fraction form
    867.85/1,301.41 = 290.59/x
  3. Step 3: Cross multiply
    867.85x = 1,301.41 × 290.59
  4. Step 4: Simplify right side
    867.85x = 378,176.73
  5. Step 5: Solve for x
    x = 378,176.73/867.85
  6. Step 6: Final answer
    x = 435.76

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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.