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Finding the Fourth Proportional to 502.80, 754.80 and 450.55

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Solution

The fourth proportional to 502.80, 754.80 and 450.55 is: 676.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 754.80 = 450.55 : x
  2. Step 2: Convert to fraction form
    502.80/754.80 = 450.55/x
  3. Step 3: Cross multiply
    502.80x = 754.80 × 450.55
  4. Step 4: Simplify right side
    502.80x = 340,075.14
  5. Step 5: Solve for x
    x = 340,075.14/502.80
  6. Step 6: Final answer
    x = 676.36

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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.