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Finding the Fourth Proportional to 830.24, 1,245.33 and 336.77

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Solution

The fourth proportional to 830.24, 1,245.33 and 336.77 is: 505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.24 : 1,245.33 = 336.77 : x
  2. Step 2: Convert to fraction form
    830.24/1,245.33 = 336.77/x
  3. Step 3: Cross multiply
    830.24x = 1,245.33 × 336.77
  4. Step 4: Simplify right side
    830.24x = 419,383.56
  5. Step 5: Solve for x
    x = 419,383.56/830.24
  6. Step 6: Final answer
    x = 505.14

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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.