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Finding the Fourth Proportional to 443.55, 611.97 and 257.05

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Solution

The fourth proportional to 443.55, 611.97 and 257.05 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.55 : 611.97 = 257.05 : x
  2. Step 2: Convert to fraction form
    443.55/611.97 = 257.05/x
  3. Step 3: Cross multiply
    443.55x = 611.97 × 257.05
  4. Step 4: Simplify right side
    443.55x = 157,303.83
  5. Step 5: Solve for x
    x = 157,303.83/443.55
  6. Step 6: Final answer
    x = 354.65

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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.