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Finding the Fourth Proportional to 443.00, 611.21 and 256.50

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Solution

The fourth proportional to 443.00, 611.21 and 256.50 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.00 : 611.21 = 256.50 : x
  2. Step 2: Convert to fraction form
    443.00/611.21 = 256.50/x
  3. Step 3: Cross multiply
    443.00x = 611.21 × 256.50
  4. Step 4: Simplify right side
    443.00x = 156,776.01
  5. Step 5: Solve for x
    x = 156,776.01/443.00
  6. Step 6: Final answer
    x = 353.89

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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.