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Finding the Fourth Proportional to 452.56, 624.38 and 266.02

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Solution

The fourth proportional to 452.56, 624.38 and 266.02 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.56 : 624.38 = 266.02 : x
  2. Step 2: Convert to fraction form
    452.56/624.38 = 266.02/x
  3. Step 3: Cross multiply
    452.56x = 624.38 × 266.02
  4. Step 4: Simplify right side
    452.56x = 166,097.57
  5. Step 5: Solve for x
    x = 166,097.57/452.56
  6. Step 6: Final answer
    x = 367.02

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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.