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Finding the Fourth Proportional to 853.03, 1,279.56 and 305.20

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Solution

The fourth proportional to 853.03, 1,279.56 and 305.20 is: 457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.03 : 1,279.56 = 305.20 : x
  2. Step 2: Convert to fraction form
    853.03/1,279.56 = 305.20/x
  3. Step 3: Cross multiply
    853.03x = 1,279.56 × 305.20
  4. Step 4: Simplify right side
    853.03x = 390,524.46
  5. Step 5: Solve for x
    x = 390,524.46/853.03
  6. Step 6: Final answer
    x = 457.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.