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Finding the Fourth Proportional to 853.22, 1,280.14 and 276.10

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Solution

The fourth proportional to 853.22, 1,280.14 and 276.10 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.22 : 1,280.14 = 276.10 : x
  2. Step 2: Convert to fraction form
    853.22/1,280.14 = 276.10/x
  3. Step 3: Cross multiply
    853.22x = 1,280.14 × 276.10
  4. Step 4: Simplify right side
    853.22x = 353,442.76
  5. Step 5: Solve for x
    x = 353,442.76/853.22
  6. Step 6: Final answer
    x = 414.24

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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.