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Finding the Fourth Proportional to 452.37, 624.30 and 286.53

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Solution

The fourth proportional to 452.37, 624.30 and 286.53 is: 395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.37 : 624.30 = 286.53 : x
  2. Step 2: Convert to fraction form
    452.37/624.30 = 286.53/x
  3. Step 3: Cross multiply
    452.37x = 624.30 × 286.53
  4. Step 4: Simplify right side
    452.37x = 178,880.68
  5. Step 5: Solve for x
    x = 178,880.68/452.37
  6. Step 6: Final answer
    x = 395.43

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Why These Related Problems?

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