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Finding the Fourth Proportional to 443.37, 611.76 and 256.83

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Solution

The fourth proportional to 443.37, 611.76 and 256.83 is: 354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.37 : 611.76 = 256.83 : x
  2. Step 2: Convert to fraction form
    443.37/611.76 = 256.83/x
  3. Step 3: Cross multiply
    443.37x = 611.76 × 256.83
  4. Step 4: Simplify right side
    443.37x = 157,118.32
  5. Step 5: Solve for x
    x = 157,118.32/443.37
  6. Step 6: Final answer
    x = 354.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.