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Finding the Fourth Proportional to 867.63, 1,301.41 and 251.32

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Solution

The fourth proportional to 867.63, 1,301.41 and 251.32 is: 376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.63 : 1,301.41 = 251.32 : x
  2. Step 2: Convert to fraction form
    867.63/1,301.41 = 251.32/x
  3. Step 3: Cross multiply
    867.63x = 1,301.41 × 251.32
  4. Step 4: Simplify right side
    867.63x = 327,068.45
  5. Step 5: Solve for x
    x = 327,068.45/867.63
  6. Step 6: Final answer
    x = 376.97

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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.