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Finding the Fourth Proportional to 621.48, 858.04 and 400.82

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Solution

The fourth proportional to 621.48, 858.04 and 400.82 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.48 : 858.04 = 400.82 : x
  2. Step 2: Convert to fraction form
    621.48/858.04 = 400.82/x
  3. Step 3: Cross multiply
    621.48x = 858.04 × 400.82
  4. Step 4: Simplify right side
    621.48x = 343,919.59
  5. Step 5: Solve for x
    x = 343,919.59/621.48
  6. Step 6: Final answer
    x = 553.39

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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.