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Finding the Fourth Proportional to 867.92, 1,302.24 and 290.84

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Solution

The fourth proportional to 867.92, 1,302.24 and 290.84 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.92 : 1,302.24 = 290.84 : x
  2. Step 2: Convert to fraction form
    867.92/1,302.24 = 290.84/x
  3. Step 3: Cross multiply
    867.92x = 1,302.24 × 290.84
  4. Step 4: Simplify right side
    867.92x = 378,743.48
  5. Step 5: Solve for x
    x = 378,743.48/867.92
  6. Step 6: Final answer
    x = 436.38

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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.