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Finding the Fourth Proportional to 303.30, 417.96 and 282.78

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Solution

The fourth proportional to 303.30, 417.96 and 282.78 is: 389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 417.96 = 282.78 : x
  2. Step 2: Convert to fraction form
    303.30/417.96 = 282.78/x
  3. Step 3: Cross multiply
    303.30x = 417.96 × 282.78
  4. Step 4: Simplify right side
    303.30x = 118,190.73
  5. Step 5: Solve for x
    x = 118,190.73/303.30
  6. Step 6: Final answer
    x = 389.68

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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.