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Finding the Fourth Proportional to 854.84, 1,282.19 and 238.53

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Solution

The fourth proportional to 854.84, 1,282.19 and 238.53 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.84 : 1,282.19 = 238.53 : x
  2. Step 2: Convert to fraction form
    854.84/1,282.19 = 238.53/x
  3. Step 3: Cross multiply
    854.84x = 1,282.19 × 238.53
  4. Step 4: Simplify right side
    854.84x = 305,840.78
  5. Step 5: Solve for x
    x = 305,840.78/854.84
  6. Step 6: Final answer
    x = 357.78

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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.