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Finding the Fourth Proportional to 332.45, 499.75 and 308.19

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Solution

The fourth proportional to 332.45, 499.75 and 308.19 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.45 : 499.75 = 308.19 : x
  2. Step 2: Convert to fraction form
    332.45/499.75 = 308.19/x
  3. Step 3: Cross multiply
    332.45x = 499.75 × 308.19
  4. Step 4: Simplify right side
    332.45x = 154,017.98
  5. Step 5: Solve for x
    x = 154,017.98/332.45
  6. Step 6: Final answer
    x = 463.28

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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.