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Finding the Fourth Proportional to 446.94, 664.64 and 442.14

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Solution

The fourth proportional to 446.94, 664.64 and 442.14 is: 657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 664.64 = 442.14 : x
  2. Step 2: Convert to fraction form
    446.94/664.64 = 442.14/x
  3. Step 3: Cross multiply
    446.94x = 664.64 × 442.14
  4. Step 4: Simplify right side
    446.94x = 293,861.72
  5. Step 5: Solve for x
    x = 293,861.72/446.94
  6. Step 6: Final answer
    x = 657.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.