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Finding the Fourth Proportional to 303.45, 419.68 and 270.64

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Solution

The fourth proportional to 303.45, 419.68 and 270.64 is: 374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.45 : 419.68 = 270.64 : x
  2. Step 2: Convert to fraction form
    303.45/419.68 = 270.64/x
  3. Step 3: Cross multiply
    303.45x = 419.68 × 270.64
  4. Step 4: Simplify right side
    303.45x = 113,582.20
  5. Step 5: Solve for x
    x = 113,582.20/303.45
  6. Step 6: Final answer
    x = 374.30

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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.