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Finding the Fourth Proportional to 621.02, 857.05 and 410.83

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Solution

The fourth proportional to 621.02, 857.05 and 410.83 is: 566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.02 : 857.05 = 410.83 : x
  2. Step 2: Convert to fraction form
    621.02/857.05 = 410.83/x
  3. Step 3: Cross multiply
    621.02x = 857.05 × 410.83
  4. Step 4: Simplify right side
    621.02x = 352,102.97
  5. Step 5: Solve for x
    x = 352,102.97/621.02
  6. Step 6: Final answer
    x = 566.98

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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.