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Finding the Fourth Proportional to 867.24, 1,301.10 and 380.34

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Solution

The fourth proportional to 867.24, 1,301.10 and 380.34 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.24 : 1,301.10 = 380.34 : x
  2. Step 2: Convert to fraction form
    867.24/1,301.10 = 380.34/x
  3. Step 3: Cross multiply
    867.24x = 1,301.10 × 380.34
  4. Step 4: Simplify right side
    867.24x = 494,860.37
  5. Step 5: Solve for x
    x = 494,860.37/867.24
  6. Step 6: Final answer
    x = 570.62

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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.