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Finding the Fourth Proportional to 452.02, 623.76 and 255.55

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Solution

The fourth proportional to 452.02, 623.76 and 255.55 is: 352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 623.76 = 255.55 : x
  2. Step 2: Convert to fraction form
    452.02/623.76 = 255.55/x
  3. Step 3: Cross multiply
    452.02x = 623.76 × 255.55
  4. Step 4: Simplify right side
    452.02x = 159,401.87
  5. Step 5: Solve for x
    x = 159,401.87/452.02
  6. Step 6: Final answer
    x = 352.64

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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.