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Finding the Fourth Proportional to 523.76, 785.16 and 443.12

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Solution

The fourth proportional to 523.76, 785.16 and 443.12 is: 664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.76 : 785.16 = 443.12 : x
  2. Step 2: Convert to fraction form
    523.76/785.16 = 443.12/x
  3. Step 3: Cross multiply
    523.76x = 785.16 × 443.12
  4. Step 4: Simplify right side
    523.76x = 347,920.10
  5. Step 5: Solve for x
    x = 347,920.10/523.76
  6. Step 6: Final answer
    x = 664.27

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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.