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Finding the Fourth Proportional to 574.56, 860.16 and 446.40

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Solution

The fourth proportional to 574.56, 860.16 and 446.40 is: 668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 860.16 = 446.40 : x
  2. Step 2: Convert to fraction form
    574.56/860.16 = 446.40/x
  3. Step 3: Cross multiply
    574.56x = 860.16 × 446.40
  4. Step 4: Simplify right side
    574.56x = 383,975.42
  5. Step 5: Solve for x
    x = 383,975.42/574.56
  6. Step 6: Final answer
    x = 668.29

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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.