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Finding the Fourth Proportional to 281.07, 416.34 and 277.83

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Solution

The fourth proportional to 281.07, 416.34 and 277.83 is: 411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 416.34 = 277.83 : x
  2. Step 2: Convert to fraction form
    281.07/416.34 = 277.83/x
  3. Step 3: Cross multiply
    281.07x = 416.34 × 277.83
  4. Step 4: Simplify right side
    281.07x = 115,671.74
  5. Step 5: Solve for x
    x = 115,671.74/281.07
  6. Step 6: Final answer
    x = 411.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.