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Finding the Fourth Proportional to 446.07, 667.89 and 354.54

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Solution

The fourth proportional to 446.07, 667.89 and 354.54 is: 530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.07 : 667.89 = 354.54 : x
  2. Step 2: Convert to fraction form
    446.07/667.89 = 354.54/x
  3. Step 3: Cross multiply
    446.07x = 667.89 × 354.54
  4. Step 4: Simplify right side
    446.07x = 236,793.72
  5. Step 5: Solve for x
    x = 236,793.72/446.07
  6. Step 6: Final answer
    x = 530.84

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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.