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Finding the Fourth Proportional to 853.30, 1,279.95 and 276.16

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Solution

The fourth proportional to 853.30, 1,279.95 and 276.16 is: 414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.30 : 1,279.95 = 276.16 : x
  2. Step 2: Convert to fraction form
    853.30/1,279.95 = 276.16/x
  3. Step 3: Cross multiply
    853.30x = 1,279.95 × 276.16
  4. Step 4: Simplify right side
    853.30x = 353,470.99
  5. Step 5: Solve for x
    x = 353,470.99/853.30
  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.