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Finding the Fourth Proportional to 496.36, 684.09 and 365.14

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Solution

The fourth proportional to 496.36, 684.09 and 365.14 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.36 : 684.09 = 365.14 : x
  2. Step 2: Convert to fraction form
    496.36/684.09 = 365.14/x
  3. Step 3: Cross multiply
    496.36x = 684.09 × 365.14
  4. Step 4: Simplify right side
    496.36x = 249,788.62
  5. Step 5: Solve for x
    x = 249,788.62/496.36
  6. Step 6: Final answer
    x = 503.24

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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.