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Finding the Fourth Proportional to 853.48, 1,279.95 and 366.22

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Solution

The fourth proportional to 853.48, 1,279.95 and 366.22 is: 549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,279.95 = 366.22 : x
  2. Step 2: Convert to fraction form
    853.48/1,279.95 = 366.22/x
  3. Step 3: Cross multiply
    853.48x = 1,279.95 × 366.22
  4. Step 4: Simplify right side
    853.48x = 468,743.29
  5. Step 5: Solve for x
    x = 468,743.29/853.48
  6. Step 6: Final answer
    x = 549.21

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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.