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Finding the Fourth Proportional to 300.24, 450.72 and 228.48

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Solution

The fourth proportional to 300.24, 450.72 and 228.48 is: 342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 450.72 = 228.48 : x
  2. Step 2: Convert to fraction form
    300.24/450.72 = 228.48/x
  3. Step 3: Cross multiply
    300.24x = 450.72 × 228.48
  4. Step 4: Simplify right side
    300.24x = 102,980.51
  5. Step 5: Solve for x
    x = 102,980.51/300.24
  6. Step 6: Final answer
    x = 342.99

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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.