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Finding the Fourth Proportional to 298.08, 448.74 and 268.31

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Solution

The fourth proportional to 298.08, 448.74 and 268.31 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.08 : 448.74 = 268.31 : x
  2. Step 2: Convert to fraction form
    298.08/448.74 = 268.31/x
  3. Step 3: Cross multiply
    298.08x = 448.74 × 268.31
  4. Step 4: Simplify right side
    298.08x = 120,402.55
  5. Step 5: Solve for x
    x = 120,402.55/298.08
  6. Step 6: Final answer
    x = 403.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.