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Finding the Fourth Proportional to 852.22, 1,278.32 and 442.16

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Solution

The fourth proportional to 852.22, 1,278.32 and 442.16 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.22 : 1,278.32 = 442.16 : x
  2. Step 2: Convert to fraction form
    852.22/1,278.32 = 442.16/x
  3. Step 3: Cross multiply
    852.22x = 1,278.32 × 442.16
  4. Step 4: Simplify right side
    852.22x = 565,218.16
  5. Step 5: Solve for x
    x = 565,218.16/852.22
  6. Step 6: Final answer
    x = 663.23

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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.