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Finding the Fourth Proportional to 364.79, 499.75 and 350.92

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Solution

The fourth proportional to 364.79, 499.75 and 350.92 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 499.75 = 350.92 : x
  2. Step 2: Convert to fraction form
    364.79/499.75 = 350.92/x
  3. Step 3: Cross multiply
    364.79x = 499.75 × 350.92
  4. Step 4: Simplify right side
    364.79x = 175,369.77
  5. Step 5: Solve for x
    x = 175,369.77/364.79
  6. Step 6: Final answer
    x = 480.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.