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Finding the Fourth Proportional to 443.40, 611.83 and 256.91

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Solution

The fourth proportional to 443.40, 611.83 and 256.91 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.40 : 611.83 = 256.91 : x
  2. Step 2: Convert to fraction form
    443.40/611.83 = 256.91/x
  3. Step 3: Cross multiply
    443.40x = 611.83 × 256.91
  4. Step 4: Simplify right side
    443.40x = 157,181.78
  5. Step 5: Solve for x
    x = 157,181.78/443.40
  6. Step 6: Final answer
    x = 354.49

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