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Finding the Fourth Proportional to 645.28, 968.08 and 260.32

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Solution

The fourth proportional to 645.28, 968.08 and 260.32 is: 390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 968.08 = 260.32 : x
  2. Step 2: Convert to fraction form
    645.28/968.08 = 260.32/x
  3. Step 3: Cross multiply
    645.28x = 968.08 × 260.32
  4. Step 4: Simplify right side
    645.28x = 252,010.59
  5. Step 5: Solve for x
    x = 252,010.59/645.28
  6. Step 6: Final answer
    x = 390.54

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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.