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Finding the Fourth Proportional to 657.28, 984.64 and 382.80

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Solution

The fourth proportional to 657.28, 984.64 and 382.80 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.28 : 984.64 = 382.80 : x
  2. Step 2: Convert to fraction form
    657.28/984.64 = 382.80/x
  3. Step 3: Cross multiply
    657.28x = 984.64 × 382.80
  4. Step 4: Simplify right side
    657.28x = 376,920.19
  5. Step 5: Solve for x
    x = 376,920.19/657.28
  6. Step 6: Final answer
    x = 573.45

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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.