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Finding the Fourth Proportional to 505.68, 759.96 and 300.30

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Solution

The fourth proportional to 505.68, 759.96 and 300.30 is: 451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 759.96 = 300.30 : x
  2. Step 2: Convert to fraction form
    505.68/759.96 = 300.30/x
  3. Step 3: Cross multiply
    505.68x = 759.96 × 300.30
  4. Step 4: Simplify right side
    505.68x = 228,215.99
  5. Step 5: Solve for x
    x = 228,215.99/505.68
  6. Step 6: Final answer
    x = 451.31

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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.