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Finding the Fourth Proportional to 443.39, 611.60 and 317.12

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Solution

The fourth proportional to 443.39, 611.60 and 317.12 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.39 : 611.60 = 317.12 : x
  2. Step 2: Convert to fraction form
    443.39/611.60 = 317.12/x
  3. Step 3: Cross multiply
    443.39x = 611.60 × 317.12
  4. Step 4: Simplify right side
    443.39x = 193,945.95
  5. Step 5: Solve for x
    x = 193,945.95/443.39
  6. Step 6: Final answer
    x = 437.42

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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.