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Finding the Fourth Proportional to 303.64, 418.02 and 262.76

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Solution

The fourth proportional to 303.64, 418.02 and 262.76 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 418.02 = 262.76 : x
  2. Step 2: Convert to fraction form
    303.64/418.02 = 262.76/x
  3. Step 3: Cross multiply
    303.64x = 418.02 × 262.76
  4. Step 4: Simplify right side
    303.64x = 109,838.94
  5. Step 5: Solve for x
    x = 109,838.94/303.64
  6. Step 6: Final answer
    x = 361.74

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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.