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Finding the Fourth Proportional to 621.24, 857.01 and 400.14

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Solution

The fourth proportional to 621.24, 857.01 and 400.14 is: 552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.24 : 857.01 = 400.14 : x
  2. Step 2: Convert to fraction form
    621.24/857.01 = 400.14/x
  3. Step 3: Cross multiply
    621.24x = 857.01 × 400.14
  4. Step 4: Simplify right side
    621.24x = 342,923.98
  5. Step 5: Solve for x
    x = 342,923.98/621.24
  6. Step 6: Final answer
    x = 552.00

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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.