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Finding the Fourth Proportional to 872.88, 1,308.57 and 352.32

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Solution

The fourth proportional to 872.88, 1,308.57 and 352.32 is: 528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.88 : 1,308.57 = 352.32 : x
  2. Step 2: Convert to fraction form
    872.88/1,308.57 = 352.32/x
  3. Step 3: Cross multiply
    872.88x = 1,308.57 × 352.32
  4. Step 4: Simplify right side
    872.88x = 461,035.38
  5. Step 5: Solve for x
    x = 461,035.38/872.88
  6. Step 6: Final answer
    x = 528.18

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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.