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Finding the Fourth Proportional to 446.10, 669.36 and 214.98

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Solution

The fourth proportional to 446.10, 669.36 and 214.98 is: 322.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.10 : 669.36 = 214.98 : x
  2. Step 2: Convert to fraction form
    446.10/669.36 = 214.98/x
  3. Step 3: Cross multiply
    446.10x = 669.36 × 214.98
  4. Step 4: Simplify right side
    446.10x = 143,899.01
  5. Step 5: Solve for x
    x = 143,899.01/446.10
  6. Step 6: Final answer
    x = 322.57

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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.