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Finding the Fourth Proportional to 855.51, 1,283.00 and 278.25

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Solution

The fourth proportional to 855.51, 1,283.00 and 278.25 is: 417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.51 : 1,283.00 = 278.25 : x
  2. Step 2: Convert to fraction form
    855.51/1,283.00 = 278.25/x
  3. Step 3: Cross multiply
    855.51x = 1,283.00 × 278.25
  4. Step 4: Simplify right side
    855.51x = 356,993.36
  5. Step 5: Solve for x
    x = 356,993.36/855.51
  6. Step 6: Final answer
    x = 417.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.