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Finding the Fourth Proportional to 855.89, 1,284.02 and 308.01

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Solution

The fourth proportional to 855.89, 1,284.02 and 308.01 is: 462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.89 : 1,284.02 = 308.01 : x
  2. Step 2: Convert to fraction form
    855.89/1,284.02 = 308.01/x
  3. Step 3: Cross multiply
    855.89x = 1,284.02 × 308.01
  4. Step 4: Simplify right side
    855.89x = 395,491.00
  5. Step 5: Solve for x
    x = 395,491.00/855.89
  6. Step 6: Final answer
    x = 462.08

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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.