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Finding the Fourth Proportional to 621.83, 857.71 and 401.06

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Solution

The fourth proportional to 621.83, 857.71 and 401.06 is: 553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.83 : 857.71 = 401.06 : x
  2. Step 2: Convert to fraction form
    621.83/857.71 = 401.06/x
  3. Step 3: Cross multiply
    621.83x = 857.71 × 401.06
  4. Step 4: Simplify right side
    621.83x = 343,993.17
  5. Step 5: Solve for x
    x = 343,993.17/621.83
  6. Step 6: Final answer
    x = 553.19

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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.