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Finding the Fourth Proportional to 367.50, 508.16 and 350.28

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Solution

The fourth proportional to 367.50, 508.16 and 350.28 is: 484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.50 : 508.16 = 350.28 : x
  2. Step 2: Convert to fraction form
    367.50/508.16 = 350.28/x
  3. Step 3: Cross multiply
    367.50x = 508.16 × 350.28
  4. Step 4: Simplify right side
    367.50x = 177,998.28
  5. Step 5: Solve for x
    x = 177,998.28/367.50
  6. Step 6: Final answer
    x = 484.35

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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.