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Finding the Fourth Proportional to 853.65, 1,279.67 and 305.55

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Solution

The fourth proportional to 853.65, 1,279.67 and 305.55 is: 458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.65 : 1,279.67 = 305.55 : x
  2. Step 2: Convert to fraction form
    853.65/1,279.67 = 305.55/x
  3. Step 3: Cross multiply
    853.65x = 1,279.67 × 305.55
  4. Step 4: Simplify right side
    853.65x = 391,003.81
  5. Step 5: Solve for x
    x = 391,003.81/853.65
  6. Step 6: Final answer
    x = 458.04

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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.