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Finding the Fourth Proportional to 300.90, 448.98 and 270.24

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Solution

The fourth proportional to 300.90, 448.98 and 270.24 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 448.98 = 270.24 : x
  2. Step 2: Convert to fraction form
    300.90/448.98 = 270.24/x
  3. Step 3: Cross multiply
    300.90x = 448.98 × 270.24
  4. Step 4: Simplify right side
    300.90x = 121,332.36
  5. Step 5: Solve for x
    x = 121,332.36/300.90
  6. Step 6: Final answer
    x = 403.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.