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Finding the Fourth Proportional to 304.28, 417.16 and 296.12

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Solution

The fourth proportional to 304.28, 417.16 and 296.12 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 417.16 = 296.12 : x
  2. Step 2: Convert to fraction form
    304.28/417.16 = 296.12/x
  3. Step 3: Cross multiply
    304.28x = 417.16 × 296.12
  4. Step 4: Simplify right side
    304.28x = 123,529.42
  5. Step 5: Solve for x
    x = 123,529.42/304.28
  6. Step 6: Final answer
    x = 405.97

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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.