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Finding the Fourth Proportional to 853.84, 1,280.56 and 305.88

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Solution

The fourth proportional to 853.84, 1,280.56 and 305.88 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,280.56 = 305.88 : x
  2. Step 2: Convert to fraction form
    853.84/1,280.56 = 305.88/x
  3. Step 3: Cross multiply
    853.84x = 1,280.56 × 305.88
  4. Step 4: Simplify right side
    853.84x = 391,692.70
  5. Step 5: Solve for x
    x = 391,692.70/853.84
  6. Step 6: Final answer
    x = 458.74

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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.