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Finding the Fourth Proportional to 575.64, 794.30 and 365.44

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Solution

The fourth proportional to 575.64, 794.30 and 365.44 is: 504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 794.30 = 365.44 : x
  2. Step 2: Convert to fraction form
    575.64/794.30 = 365.44/x
  3. Step 3: Cross multiply
    575.64x = 794.30 × 365.44
  4. Step 4: Simplify right side
    575.64x = 290,268.99
  5. Step 5: Solve for x
    x = 290,268.99/575.64
  6. Step 6: Final answer
    x = 504.25

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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.