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Finding the Fourth Proportional to 853.43, 1,280.16 and 305.64

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Solution

The fourth proportional to 853.43, 1,280.16 and 305.64 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.43 : 1,280.16 = 305.64 : x
  2. Step 2: Convert to fraction form
    853.43/1,280.16 = 305.64/x
  3. Step 3: Cross multiply
    853.43x = 1,280.16 × 305.64
  4. Step 4: Simplify right side
    853.43x = 391,268.10
  5. Step 5: Solve for x
    x = 391,268.10/853.43
  6. Step 6: Final answer
    x = 458.47

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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.