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Finding the Fourth Proportional to 452.42, 624.42 and 378.60

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Solution

The fourth proportional to 452.42, 624.42 and 378.60 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 624.42 = 378.60 : x
  2. Step 2: Convert to fraction form
    452.42/624.42 = 378.60/x
  3. Step 3: Cross multiply
    452.42x = 624.42 × 378.60
  4. Step 4: Simplify right side
    452.42x = 236,405.41
  5. Step 5: Solve for x
    x = 236,405.41/452.42
  6. Step 6: Final answer
    x = 522.54

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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.