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Finding the Fourth Proportional to 505.80, 757.80 and 414.36

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Solution

The fourth proportional to 505.80, 757.80 and 414.36 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.80 : 757.80 = 414.36 : x
  2. Step 2: Convert to fraction form
    505.80/757.80 = 414.36/x
  3. Step 3: Cross multiply
    505.80x = 757.80 × 414.36
  4. Step 4: Simplify right side
    505.80x = 314,002.01
  5. Step 5: Solve for x
    x = 314,002.01/505.80
  6. Step 6: Final answer
    x = 620.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.