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Finding the Fourth Proportional to 281.34, 419.93 and 264.03

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Solution

The fourth proportional to 281.34, 419.93 and 264.03 is: 394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 419.93 = 264.03 : x
  2. Step 2: Convert to fraction form
    281.34/419.93 = 264.03/x
  3. Step 3: Cross multiply
    281.34x = 419.93 × 264.03
  4. Step 4: Simplify right side
    281.34x = 110,872.21
  5. Step 5: Solve for x
    x = 110,872.21/281.34
  6. Step 6: Final answer
    x = 394.09

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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.