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Finding the Fourth Proportional to 621.16, 857.24 and 410.97

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Solution

The fourth proportional to 621.16, 857.24 and 410.97 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.16 : 857.24 = 410.97 : x
  2. Step 2: Convert to fraction form
    621.16/857.24 = 410.97/x
  3. Step 3: Cross multiply
    621.16x = 857.24 × 410.97
  4. Step 4: Simplify right side
    621.16x = 352,293.58
  5. Step 5: Solve for x
    x = 352,293.58/621.16
  6. Step 6: Final answer
    x = 567.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.