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Finding the Fourth Proportional to 495.36, 741.43 and 365.31

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Solution

The fourth proportional to 495.36, 741.43 and 365.31 is: 546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.36 : 741.43 = 365.31 : x
  2. Step 2: Convert to fraction form
    495.36/741.43 = 365.31/x
  3. Step 3: Cross multiply
    495.36x = 741.43 × 365.31
  4. Step 4: Simplify right side
    495.36x = 270,850.88
  5. Step 5: Solve for x
    x = 270,850.88/495.36
  6. Step 6: Final answer
    x = 546.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.