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Finding the Fourth Proportional to 574.80, 793.44 and 415.50

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Solution

The fourth proportional to 574.80, 793.44 and 415.50 is: 573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 793.44 = 415.50 : x
  2. Step 2: Convert to fraction form
    574.80/793.44 = 415.50/x
  3. Step 3: Cross multiply
    574.80x = 793.44 × 415.50
  4. Step 4: Simplify right side
    574.80x = 329,674.32
  5. Step 5: Solve for x
    x = 329,674.32/574.80
  6. Step 6: Final answer
    x = 573.55

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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.