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Finding the Fourth Proportional to 505.74, 755.61 and 445.59

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Solution

The fourth proportional to 505.74, 755.61 and 445.59 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 755.61 = 445.59 : x
  2. Step 2: Convert to fraction form
    505.74/755.61 = 445.59/x
  3. Step 3: Cross multiply
    505.74x = 755.61 × 445.59
  4. Step 4: Simplify right side
    505.74x = 336,692.26
  5. Step 5: Solve for x
    x = 336,692.26/505.74
  6. Step 6: Final answer
    x = 665.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.