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Finding the Fourth Proportional to 464.93, 641.27 and 406.61

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Solution

The fourth proportional to 464.93, 641.27 and 406.61 is: 560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.93 : 641.27 = 406.61 : x
  2. Step 2: Convert to fraction form
    464.93/641.27 = 406.61/x
  3. Step 3: Cross multiply
    464.93x = 641.27 × 406.61
  4. Step 4: Simplify right side
    464.93x = 260,744.60
  5. Step 5: Solve for x
    x = 260,744.60/464.93
  6. Step 6: Final answer
    x = 560.83

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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.