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Finding the Fourth Proportional to 281.43, 419.61 and 263.82

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Solution

The fourth proportional to 281.43, 419.61 and 263.82 is: 393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.43 : 419.61 = 263.82 : x
  2. Step 2: Convert to fraction form
    281.43/419.61 = 263.82/x
  3. Step 3: Cross multiply
    281.43x = 419.61 × 263.82
  4. Step 4: Simplify right side
    281.43x = 110,701.51
  5. Step 5: Solve for x
    x = 110,701.51/281.43
  6. Step 6: Final answer
    x = 393.35

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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.