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Finding the Fourth Proportional to 442.06, 662.40 and 297.60

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Solution

The fourth proportional to 442.06, 662.40 and 297.60 is: 445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.06 : 662.40 = 297.60 : x
  2. Step 2: Convert to fraction form
    442.06/662.40 = 297.60/x
  3. Step 3: Cross multiply
    442.06x = 662.40 × 297.60
  4. Step 4: Simplify right side
    442.06x = 197,130.24
  5. Step 5: Solve for x
    x = 197,130.24/442.06
  6. Step 6: Final answer
    x = 445.94

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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.