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Finding the Fourth Proportional to 854.26, 1,281.90 and 334.63

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Solution

The fourth proportional to 854.26, 1,281.90 and 334.63 is: 502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.26 : 1,281.90 = 334.63 : x
  2. Step 2: Convert to fraction form
    854.26/1,281.90 = 334.63/x
  3. Step 3: Cross multiply
    854.26x = 1,281.90 × 334.63
  4. Step 4: Simplify right side
    854.26x = 428,962.20
  5. Step 5: Solve for x
    x = 428,962.20/854.26
  6. Step 6: Final answer
    x = 502.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.