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Finding the Fourth Proportional to 872.43, 1,308.25 and 410.35

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Solution

The fourth proportional to 872.43, 1,308.25 and 410.35 is: 615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.43 : 1,308.25 = 410.35 : x
  2. Step 2: Convert to fraction form
    872.43/1,308.25 = 410.35/x
  3. Step 3: Cross multiply
    872.43x = 1,308.25 × 410.35
  4. Step 4: Simplify right side
    872.43x = 536,840.39
  5. Step 5: Solve for x
    x = 536,840.39/872.43
  6. Step 6: Final answer
    x = 615.34

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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.