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Finding the Fourth Proportional to 621.91, 934.68 and 406.84

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Solution

The fourth proportional to 621.91, 934.68 and 406.84 is: 611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.91 : 934.68 = 406.84 : x
  2. Step 2: Convert to fraction form
    621.91/934.68 = 406.84/x
  3. Step 3: Cross multiply
    621.91x = 934.68 × 406.84
  4. Step 4: Simplify right side
    621.91x = 380,265.21
  5. Step 5: Solve for x
    x = 380,265.21/621.91
  6. Step 6: Final answer
    x = 611.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.