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Finding the Fourth Proportional to 450.60, 676 and 382.60

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Solution

The fourth proportional to 450.60, 676 and 382.60 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.60 : 676 = 382.60 : x
  2. Step 2: Convert to fraction form
    450.60/676 = 382.60/x
  3. Step 3: Cross multiply
    450.60x = 676 × 382.60
  4. Step 4: Simplify right side
    450.60x = 258,637.60
  5. Step 5: Solve for x
    x = 258,637.60/450.60
  6. Step 6: Final answer
    x = 573.98

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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.