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Finding the Fourth Proportional to 505.48, 759.03 and 382.09

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Solution

The fourth proportional to 505.48, 759.03 and 382.09 is: 573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.48 : 759.03 = 382.09 : x
  2. Step 2: Convert to fraction form
    505.48/759.03 = 382.09/x
  3. Step 3: Cross multiply
    505.48x = 759.03 × 382.09
  4. Step 4: Simplify right side
    505.48x = 290,017.77
  5. Step 5: Solve for x
    x = 290,017.77/505.48
  6. Step 6: Final answer
    x = 573.75

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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.