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Finding the Fourth Proportional to 303.14, 416.94 and 263.10

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Solution

The fourth proportional to 303.14, 416.94 and 263.10 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 416.94 = 263.10 : x
  2. Step 2: Convert to fraction form
    303.14/416.94 = 263.10/x
  3. Step 3: Cross multiply
    303.14x = 416.94 × 263.10
  4. Step 4: Simplify right side
    303.14x = 109,696.91
  5. Step 5: Solve for x
    x = 109,696.91/303.14
  6. Step 6: Final answer
    x = 361.87

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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.