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Finding the Fourth Proportional to 298.13, 447.45 and 230.07

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Solution

The fourth proportional to 298.13, 447.45 and 230.07 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 447.45 = 230.07 : x
  2. Step 2: Convert to fraction form
    298.13/447.45 = 230.07/x
  3. Step 3: Cross multiply
    298.13x = 447.45 × 230.07
  4. Step 4: Simplify right side
    298.13x = 102,944.82
  5. Step 5: Solve for x
    x = 102,944.82/298.13
  6. Step 6: Final answer
    x = 345.31

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