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Finding the Fourth Proportional to 657.02, 984.90 and 414.02

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Solution

The fourth proportional to 657.02, 984.90 and 414.02 is: 620.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 984.90 = 414.02 : x
  2. Step 2: Convert to fraction form
    657.02/984.90 = 414.02/x
  3. Step 3: Cross multiply
    657.02x = 984.90 × 414.02
  4. Step 4: Simplify right side
    657.02x = 407,768.30
  5. Step 5: Solve for x
    x = 407,768.30/657.02
  6. Step 6: Final answer
    x = 620.63

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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.