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Finding the Fourth Proportional to 872.64, 1,308.64 and 352.36

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Solution

The fourth proportional to 872.64, 1,308.64 and 352.36 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.64 : 1,308.64 = 352.36 : x
  2. Step 2: Convert to fraction form
    872.64/1,308.64 = 352.36/x
  3. Step 3: Cross multiply
    872.64x = 1,308.64 × 352.36
  4. Step 4: Simplify right side
    872.64x = 461,110.63
  5. Step 5: Solve for x
    x = 461,110.63/872.64
  6. Step 6: Final answer
    x = 528.41

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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.