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Finding the Fourth Proportional to 426.58, 641.07 and 410.38

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Solution

The fourth proportional to 426.58, 641.07 and 410.38 is: 616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.58 : 641.07 = 410.38 : x
  2. Step 2: Convert to fraction form
    426.58/641.07 = 410.38/x
  3. Step 3: Cross multiply
    426.58x = 641.07 × 410.38
  4. Step 4: Simplify right side
    426.58x = 263,082.31
  5. Step 5: Solve for x
    x = 263,082.31/426.58
  6. Step 6: Final answer
    x = 616.72

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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.