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Finding the Fourth Proportional to 495.99, 742.36 and 365.94

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Solution

The fourth proportional to 495.99, 742.36 and 365.94 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 742.36 = 365.94 : x
  2. Step 2: Convert to fraction form
    495.99/742.36 = 365.94/x
  3. Step 3: Cross multiply
    495.99x = 742.36 × 365.94
  4. Step 4: Simplify right side
    495.99x = 271,659.22
  5. Step 5: Solve for x
    x = 271,659.22/495.99
  6. Step 6: Final answer
    x = 547.71

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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.