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Finding the Fourth Proportional to 363.20, 501.26 and 304.08

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Solution

The fourth proportional to 363.20, 501.26 and 304.08 is: 419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 501.26 = 304.08 : x
  2. Step 2: Convert to fraction form
    363.20/501.26 = 304.08/x
  3. Step 3: Cross multiply
    363.20x = 501.26 × 304.08
  4. Step 4: Simplify right side
    363.20x = 152,423.14
  5. Step 5: Solve for x
    x = 152,423.14/363.20
  6. Step 6: Final answer
    x = 419.67

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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.