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Finding the Fourth Proportional to 621.38, 857.10 and 473.68

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Solution

The fourth proportional to 621.38, 857.10 and 473.68 is: 653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.38 : 857.10 = 473.68 : x
  2. Step 2: Convert to fraction form
    621.38/857.10 = 473.68/x
  3. Step 3: Cross multiply
    621.38x = 857.10 × 473.68
  4. Step 4: Simplify right side
    621.38x = 405,991.13
  5. Step 5: Solve for x
    x = 405,991.13/621.38
  6. Step 6: Final answer
    x = 653.37

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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.