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Finding the Fourth Proportional to 645.37, 968.37 and 298.60

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Solution

The fourth proportional to 645.37, 968.37 and 298.60 is: 448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.37 : 968.37 = 298.60 : x
  2. Step 2: Convert to fraction form
    645.37/968.37 = 298.60/x
  3. Step 3: Cross multiply
    645.37x = 968.37 × 298.60
  4. Step 4: Simplify right side
    645.37x = 289,155.28
  5. Step 5: Solve for x
    x = 289,155.28/645.37
  6. Step 6: Final answer
    x = 448.05

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