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Finding the Fourth Proportional to 442.16, 663.22 and 296.84

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Solution

The fourth proportional to 442.16, 663.22 and 296.84 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 663.22 = 296.84 : x
  2. Step 2: Convert to fraction form
    442.16/663.22 = 296.84/x
  3. Step 3: Cross multiply
    442.16x = 663.22 × 296.84
  4. Step 4: Simplify right side
    442.16x = 196,870.22
  5. Step 5: Solve for x
    x = 196,870.22/442.16
  6. Step 6: Final answer
    x = 445.25

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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.