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Finding the Fourth Proportional to 854.25, 1,281.38 and 341.61

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Solution

The fourth proportional to 854.25, 1,281.38 and 341.61 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.25 : 1,281.38 = 341.61 : x
  2. Step 2: Convert to fraction form
    854.25/1,281.38 = 341.61/x
  3. Step 3: Cross multiply
    854.25x = 1,281.38 × 341.61
  4. Step 4: Simplify right side
    854.25x = 437,730.51
  5. Step 5: Solve for x
    x = 437,730.51/854.25
  6. Step 6: Final answer
    x = 512.42

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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.