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Finding the Fourth Proportional to 303.26, 417.28 and 294.15

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Solution

The fourth proportional to 303.26, 417.28 and 294.15 is: 404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.26 : 417.28 = 294.15 : x
  2. Step 2: Convert to fraction form
    303.26/417.28 = 294.15/x
  3. Step 3: Cross multiply
    303.26x = 417.28 × 294.15
  4. Step 4: Simplify right side
    303.26x = 122,742.91
  5. Step 5: Solve for x
    x = 122,742.91/303.26
  6. Step 6: Final answer
    x = 404.74

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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.