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Finding the Fourth Proportional to 577.08, 794.84 and 444.04

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Solution

The fourth proportional to 577.08, 794.84 and 444.04 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 794.84 = 444.04 : x
  2. Step 2: Convert to fraction form
    577.08/794.84 = 444.04/x
  3. Step 3: Cross multiply
    577.08x = 794.84 × 444.04
  4. Step 4: Simplify right side
    577.08x = 352,940.75
  5. Step 5: Solve for x
    x = 352,940.75/577.08
  6. Step 6: Final answer
    x = 611.60

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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.