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Finding the Fourth Proportional to 852.66, 1,279.46 and 442.16

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Solution

The fourth proportional to 852.66, 1,279.46 and 442.16 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,279.46 = 442.16 : x
  2. Step 2: Convert to fraction form
    852.66/1,279.46 = 442.16/x
  3. Step 3: Cross multiply
    852.66x = 1,279.46 × 442.16
  4. Step 4: Simplify right side
    852.66x = 565,725.54
  5. Step 5: Solve for x
    x = 565,725.54/852.66
  6. Step 6: Final answer
    x = 663.48

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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.