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Finding the Fourth Proportional to 458.22, 683.25 and 452.55

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Solution

The fourth proportional to 458.22, 683.25 and 452.55 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 683.25 = 452.55 : x
  2. Step 2: Convert to fraction form
    458.22/683.25 = 452.55/x
  3. Step 3: Cross multiply
    458.22x = 683.25 × 452.55
  4. Step 4: Simplify right side
    458.22x = 309,204.79
  5. Step 5: Solve for x
    x = 309,204.79/458.22
  6. Step 6: Final answer
    x = 674.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.