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Finding the Fourth Proportional to 575.67, 794.10 and 365.43

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Solution

The fourth proportional to 575.67, 794.10 and 365.43 is: 504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.67 : 794.10 = 365.43 : x
  2. Step 2: Convert to fraction form
    575.67/794.10 = 365.43/x
  3. Step 3: Cross multiply
    575.67x = 794.10 × 365.43
  4. Step 4: Simplify right side
    575.67x = 290,187.96
  5. Step 5: Solve for x
    x = 290,187.96/575.67
  6. Step 6: Final answer
    x = 504.09

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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.