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Finding the Fourth Proportional to 1,534.94, 2,302.41 and 380.69

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Solution

The fourth proportional to 1,534.94, 2,302.41 and 380.69 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.94 : 2,302.41 = 380.69 : x
  2. Step 2: Convert to fraction form
    1,534.94/2,302.41 = 380.69/x
  3. Step 3: Cross multiply
    1,534.94x = 2,302.41 × 380.69
  4. Step 4: Simplify right side
    1,534.94x = 876,504.46
  5. Step 5: Solve for x
    x = 876,504.46/1,534.94
  6. Step 6: Final answer
    x = 571.04

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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.