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Finding the Fourth Proportional to 854.77, 1,281.91 and 334.75

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Solution

The fourth proportional to 854.77, 1,281.91 and 334.75 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.77 : 1,281.91 = 334.75 : x
  2. Step 2: Convert to fraction form
    854.77/1,281.91 = 334.75/x
  3. Step 3: Cross multiply
    854.77x = 1,281.91 × 334.75
  4. Step 4: Simplify right side
    854.77x = 429,119.37
  5. Step 5: Solve for x
    x = 429,119.37/854.77
  6. Step 6: Final answer
    x = 502.03

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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.