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Finding the Fourth Proportional to 464.67, 641.93 and 394.61

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Solution

The fourth proportional to 464.67, 641.93 and 394.61 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 641.93 = 394.61 : x
  2. Step 2: Convert to fraction form
    464.67/641.93 = 394.61/x
  3. Step 3: Cross multiply
    464.67x = 641.93 × 394.61
  4. Step 4: Simplify right side
    464.67x = 253,306.81
  5. Step 5: Solve for x
    x = 253,306.81/464.67
  6. Step 6: Final answer
    x = 545.13

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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.