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Finding the Fourth Proportional to 621.68, 857.27 and 400.23

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Solution

The fourth proportional to 621.68, 857.27 and 400.23 is: 551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.68 : 857.27 = 400.23 : x
  2. Step 2: Convert to fraction form
    621.68/857.27 = 400.23/x
  3. Step 3: Cross multiply
    621.68x = 857.27 × 400.23
  4. Step 4: Simplify right side
    621.68x = 343,106.17
  5. Step 5: Solve for x
    x = 343,106.17/621.68
  6. Step 6: Final answer
    x = 551.91

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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.