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Finding the Fourth Proportional to 855.30, 1,282.41 and 444.56

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Solution

The fourth proportional to 855.30, 1,282.41 and 444.56 is: 666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.30 : 1,282.41 = 444.56 : x
  2. Step 2: Convert to fraction form
    855.30/1,282.41 = 444.56/x
  3. Step 3: Cross multiply
    855.30x = 1,282.41 × 444.56
  4. Step 4: Simplify right side
    855.30x = 570,111.40
  5. Step 5: Solve for x
    x = 570,111.40/855.30
  6. Step 6: Final answer
    x = 666.56

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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.