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Finding the Fourth Proportional to 303.14, 418.57 and 302.54

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Solution

The fourth proportional to 303.14, 418.57 and 302.54 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 418.57 = 302.54 : x
  2. Step 2: Convert to fraction form
    303.14/418.57 = 302.54/x
  3. Step 3: Cross multiply
    303.14x = 418.57 × 302.54
  4. Step 4: Simplify right side
    303.14x = 126,631.32
  5. Step 5: Solve for x
    x = 126,631.32/303.14
  6. Step 6: Final answer
    x = 417.73

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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.