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Finding the Fourth Proportional to 867.52, 1,301.42 and 380.31

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Solution

The fourth proportional to 867.52, 1,301.42 and 380.31 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.52 : 1,301.42 = 380.31 : x
  2. Step 2: Convert to fraction form
    867.52/1,301.42 = 380.31/x
  3. Step 3: Cross multiply
    867.52x = 1,301.42 × 380.31
  4. Step 4: Simplify right side
    867.52x = 494,943.04
  5. Step 5: Solve for x
    x = 494,943.04/867.52
  6. Step 6: Final answer
    x = 570.53

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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.