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Finding the Fourth Proportional to 454.90, 683.70 and 446.80

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Solution

The fourth proportional to 454.90, 683.70 and 446.80 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 683.70 = 446.80 : x
  2. Step 2: Convert to fraction form
    454.90/683.70 = 446.80/x
  3. Step 3: Cross multiply
    454.90x = 683.70 × 446.80
  4. Step 4: Simplify right side
    454.90x = 305,477.16
  5. Step 5: Solve for x
    x = 305,477.16/454.90
  6. Step 6: Final answer
    x = 671.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.