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Finding the Fourth Proportional to 446.16, 669.14 and 214.91

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Solution

The fourth proportional to 446.16, 669.14 and 214.91 is: 322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 669.14 = 214.91 : x
  2. Step 2: Convert to fraction form
    446.16/669.14 = 214.91/x
  3. Step 3: Cross multiply
    446.16x = 669.14 × 214.91
  4. Step 4: Simplify right side
    446.16x = 143,804.88
  5. Step 5: Solve for x
    x = 143,804.88/446.16
  6. Step 6: Final answer
    x = 322.32

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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.