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Finding the Fourth Proportional to 621.27, 857.40 and 411.08

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Solution

The fourth proportional to 621.27, 857.40 and 411.08 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.27 : 857.40 = 411.08 : x
  2. Step 2: Convert to fraction form
    621.27/857.40 = 411.08/x
  3. Step 3: Cross multiply
    621.27x = 857.40 × 411.08
  4. Step 4: Simplify right side
    621.27x = 352,454.16
  5. Step 5: Solve for x
    x = 352,454.16/621.27
  6. Step 6: Final answer
    x = 567.31

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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.