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Finding the Fourth Proportional to 442.92, 662.58 and 306

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Solution

The fourth proportional to 442.92, 662.58 and 306 is: 457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.92 : 662.58 = 306 : x
  2. Step 2: Convert to fraction form
    442.92/662.58 = 306/x
  3. Step 3: Cross multiply
    442.92x = 662.58 × 306
  4. Step 4: Simplify right side
    442.92x = 202,749.48
  5. Step 5: Solve for x
    x = 202,749.48/442.92
  6. Step 6: Final answer
    x = 457.76

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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.