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Finding the Fourth Proportional to 872.36, 1,308.55 and 410.47

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Solution

The fourth proportional to 872.36, 1,308.55 and 410.47 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.36 : 1,308.55 = 410.47 : x
  2. Step 2: Convert to fraction form
    872.36/1,308.55 = 410.47/x
  3. Step 3: Cross multiply
    872.36x = 1,308.55 × 410.47
  4. Step 4: Simplify right side
    872.36x = 537,120.52
  5. Step 5: Solve for x
    x = 537,120.52/872.36
  6. Step 6: Final answer
    x = 615.71

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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.