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Finding the Fourth Proportional to 575.04, 793.89 and 409.22

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Solution

The fourth proportional to 575.04, 793.89 and 409.22 is: 564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.04 : 793.89 = 409.22 : x
  2. Step 2: Convert to fraction form
    575.04/793.89 = 409.22/x
  3. Step 3: Cross multiply
    575.04x = 793.89 × 409.22
  4. Step 4: Simplify right side
    575.04x = 324,871.70
  5. Step 5: Solve for x
    x = 324,871.70/575.04
  6. Step 6: Final answer
    x = 564.95

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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.