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Finding the Fourth Proportional to 452.87, 624.71 and 266.33

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Solution

The fourth proportional to 452.87, 624.71 and 266.33 is: 367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.87 : 624.71 = 266.33 : x
  2. Step 2: Convert to fraction form
    452.87/624.71 = 266.33/x
  3. Step 3: Cross multiply
    452.87x = 624.71 × 266.33
  4. Step 4: Simplify right side
    452.87x = 166,374.56
  5. Step 5: Solve for x
    x = 166,374.56/452.87
  6. Step 6: Final answer
    x = 367.38

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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.