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Finding the Fourth Proportional to 853.83, 1,280.49 and 305.94

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Solution

The fourth proportional to 853.83, 1,280.49 and 305.94 is: 458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.83 : 1,280.49 = 305.94 : x
  2. Step 2: Convert to fraction form
    853.83/1,280.49 = 305.94/x
  3. Step 3: Cross multiply
    853.83x = 1,280.49 × 305.94
  4. Step 4: Simplify right side
    853.83x = 391,753.11
  5. Step 5: Solve for x
    x = 391,753.11/853.83
  6. Step 6: Final answer
    x = 458.82

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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.