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Finding the Fourth Proportional to 450.88, 676.01 and 382.84

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Solution

The fourth proportional to 450.88, 676.01 and 382.84 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.88 : 676.01 = 382.84 : x
  2. Step 2: Convert to fraction form
    450.88/676.01 = 382.84/x
  3. Step 3: Cross multiply
    450.88x = 676.01 × 382.84
  4. Step 4: Simplify right side
    450.88x = 258,802.94
  5. Step 5: Solve for x
    x = 258,802.94/450.88
  6. Step 6: Final answer
    x = 574.00

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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.