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Finding the Fourth Proportional to 452.34, 624.26 and 255.88

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Solution

The fourth proportional to 452.34, 624.26 and 255.88 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.34 : 624.26 = 255.88 : x
  2. Step 2: Convert to fraction form
    452.34/624.26 = 255.88/x
  3. Step 3: Cross multiply
    452.34x = 624.26 × 255.88
  4. Step 4: Simplify right side
    452.34x = 159,735.65
  5. Step 5: Solve for x
    x = 159,735.65/452.34
  6. Step 6: Final answer
    x = 353.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.