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Finding the Fourth Proportional to 304.37, 456.63 and 98.95

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Solution

The fourth proportional to 304.37, 456.63 and 98.95 is: 148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.37 : 456.63 = 98.95 : x
  2. Step 2: Convert to fraction form
    304.37/456.63 = 98.95/x
  3. Step 3: Cross multiply
    304.37x = 456.63 × 98.95
  4. Step 4: Simplify right side
    304.37x = 45,183.54
  5. Step 5: Solve for x
    x = 45,183.54/304.37
  6. Step 6: Final answer
    x = 148.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.