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Finding the Fourth Proportional to 410.94, 619.15 and 371.94

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Solution

The fourth proportional to 410.94, 619.15 and 371.94 is: 560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 619.15 = 371.94 : x
  2. Step 2: Convert to fraction form
    410.94/619.15 = 371.94/x
  3. Step 3: Cross multiply
    410.94x = 619.15 × 371.94
  4. Step 4: Simplify right side
    410.94x = 230,288.20
  5. Step 5: Solve for x
    x = 230,288.20/410.94
  6. Step 6: Final answer
    x = 560.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.