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Finding the Fourth Proportional to 446.89, 669.12 and 230.01

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Solution

The fourth proportional to 446.89, 669.12 and 230.01 is: 344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.89 : 669.12 = 230.01 : x
  2. Step 2: Convert to fraction form
    446.89/669.12 = 230.01/x
  3. Step 3: Cross multiply
    446.89x = 669.12 × 230.01
  4. Step 4: Simplify right side
    446.89x = 153,908.18
  5. Step 5: Solve for x
    x = 153,908.18/446.89
  6. Step 6: Final answer
    x = 344.40

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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.