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Finding the Fourth Proportional to 452.20, 623.96 and 255.64

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Solution

The fourth proportional to 452.20, 623.96 and 255.64 is: 352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 623.96 = 255.64 : x
  2. Step 2: Convert to fraction form
    452.20/623.96 = 255.64/x
  3. Step 3: Cross multiply
    452.20x = 623.96 × 255.64
  4. Step 4: Simplify right side
    452.20x = 159,509.13
  5. Step 5: Solve for x
    x = 159,509.13/452.20
  6. Step 6: Final answer
    x = 352.74

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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.