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Finding the Fourth Proportional to 446.94, 670.80 and 230.64

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Solution

The fourth proportional to 446.94, 670.80 and 230.64 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 670.80 = 230.64 : x
  2. Step 2: Convert to fraction form
    446.94/670.80 = 230.64/x
  3. Step 3: Cross multiply
    446.94x = 670.80 × 230.64
  4. Step 4: Simplify right side
    446.94x = 154,713.31
  5. Step 5: Solve for x
    x = 154,713.31/446.94
  6. Step 6: Final answer
    x = 346.16

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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.