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Finding the Fourth Proportional to 503.83, 754.29 and 294.96

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Solution

The fourth proportional to 503.83, 754.29 and 294.96 is: 441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.83 : 754.29 = 294.96 : x
  2. Step 2: Convert to fraction form
    503.83/754.29 = 294.96/x
  3. Step 3: Cross multiply
    503.83x = 754.29 × 294.96
  4. Step 4: Simplify right side
    503.83x = 222,488.21
  5. Step 5: Solve for x
    x = 222,488.21/503.83
  6. Step 6: Final answer
    x = 441.59

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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.