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Finding the Fourth Proportional to 621.78, 857.57 and 397.77

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Solution

The fourth proportional to 621.78, 857.57 and 397.77 is: 548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.78 : 857.57 = 397.77 : x
  2. Step 2: Convert to fraction form
    621.78/857.57 = 397.77/x
  3. Step 3: Cross multiply
    621.78x = 857.57 × 397.77
  4. Step 4: Simplify right side
    621.78x = 341,113.63
  5. Step 5: Solve for x
    x = 341,113.63/621.78
  6. Step 6: Final answer
    x = 548.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.