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Finding the Fourth Proportional to 446.79, 674.40 and 446.79

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Solution

The fourth proportional to 446.79, 674.40 and 446.79 is: 674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.79 : 674.40 = 446.79 : x
  2. Step 2: Convert to fraction form
    446.79/674.40 = 446.79/x
  3. Step 3: Cross multiply
    446.79x = 674.40 × 446.79
  4. Step 4: Simplify right side
    446.79x = 301,316.23
  5. Step 5: Solve for x
    x = 301,316.23/446.79
  6. Step 6: Final answer
    x = 674.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.