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Finding the Fourth Proportional to 867.65, 1,301.48 and 290.52

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Solution

The fourth proportional to 867.65, 1,301.48 and 290.52 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.65 : 1,301.48 = 290.52 : x
  2. Step 2: Convert to fraction form
    867.65/1,301.48 = 290.52/x
  3. Step 3: Cross multiply
    867.65x = 1,301.48 × 290.52
  4. Step 4: Simplify right side
    867.65x = 378,104.52
  5. Step 5: Solve for x
    x = 378,104.52/867.65
  6. Step 6: Final answer
    x = 435.78

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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.