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Finding the Fourth Proportional to 303.95, 416.76 and 296.66

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Solution

The fourth proportional to 303.95, 416.76 and 296.66 is: 406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.95 : 416.76 = 296.66 : x
  2. Step 2: Convert to fraction form
    303.95/416.76 = 296.66/x
  3. Step 3: Cross multiply
    303.95x = 416.76 × 296.66
  4. Step 4: Simplify right side
    303.95x = 123,636.02
  5. Step 5: Solve for x
    x = 123,636.02/303.95
  6. Step 6: Final answer
    x = 406.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.