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Finding the Fourth Proportional to 855.04, 1,282.64 and 238.75

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Solution

The fourth proportional to 855.04, 1,282.64 and 238.75 is: 358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.04 : 1,282.64 = 238.75 : x
  2. Step 2: Convert to fraction form
    855.04/1,282.64 = 238.75/x
  3. Step 3: Cross multiply
    855.04x = 1,282.64 × 238.75
  4. Step 4: Simplify right side
    855.04x = 306,230.30
  5. Step 5: Solve for x
    x = 306,230.30/855.04
  6. Step 6: Final answer
    x = 358.15

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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.