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Finding the Fourth Proportional to 611.80, 843.72 and 390.37

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Solution

The fourth proportional to 611.80, 843.72 and 390.37 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.80 : 843.72 = 390.37 : x
  2. Step 2: Convert to fraction form
    611.80/843.72 = 390.37/x
  3. Step 3: Cross multiply
    611.80x = 843.72 × 390.37
  4. Step 4: Simplify right side
    611.80x = 329,360.99
  5. Step 5: Solve for x
    x = 329,360.99/611.80
  6. Step 6: Final answer
    x = 538.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.