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Finding the Fourth Proportional to 303.77, 418.00 and 295.71

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Solution

The fourth proportional to 303.77, 418.00 and 295.71 is: 406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.77 : 418.00 = 295.71 : x
  2. Step 2: Convert to fraction form
    303.77/418.00 = 295.71/x
  3. Step 3: Cross multiply
    303.77x = 418.00 × 295.71
  4. Step 4: Simplify right side
    303.77x = 123,603.95
  5. Step 5: Solve for x
    x = 123,603.95/303.77
  6. Step 6: Final answer
    x = 406.91

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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.