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Finding the Fourth Proportional to 446.55, 666.38 and 392.56

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Solution

The fourth proportional to 446.55, 666.38 and 392.56 is: 585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.55 : 666.38 = 392.56 : x
  2. Step 2: Convert to fraction form
    446.55/666.38 = 392.56/x
  3. Step 3: Cross multiply
    446.55x = 666.38 × 392.56
  4. Step 4: Simplify right side
    446.55x = 261,594.13
  5. Step 5: Solve for x
    x = 261,594.13/446.55
  6. Step 6: Final answer
    x = 585.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.