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Finding the Fourth Proportional to 854.19, 1,280.21 and 442.31

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Solution

The fourth proportional to 854.19, 1,280.21 and 442.31 is: 662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.19 : 1,280.21 = 442.31 : x
  2. Step 2: Convert to fraction form
    854.19/1,280.21 = 442.31/x
  3. Step 3: Cross multiply
    854.19x = 1,280.21 × 442.31
  4. Step 4: Simplify right side
    854.19x = 566,241.07
  5. Step 5: Solve for x
    x = 566,241.07/854.19
  6. Step 6: Final answer
    x = 662.90

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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.