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Finding the Fourth Proportional to 854.49, 1,282.05 and 361.02

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Solution

The fourth proportional to 854.49, 1,282.05 and 361.02 is: 541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.49 : 1,282.05 = 361.02 : x
  2. Step 2: Convert to fraction form
    854.49/1,282.05 = 361.02/x
  3. Step 3: Cross multiply
    854.49x = 1,282.05 × 361.02
  4. Step 4: Simplify right side
    854.49x = 462,845.69
  5. Step 5: Solve for x
    x = 462,845.69/854.49
  6. Step 6: Final answer
    x = 541.66

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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.