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Finding the Fourth Proportional to 467.05, 641.33 and 417.91

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Solution

The fourth proportional to 467.05, 641.33 and 417.91 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 641.33 = 417.91 : x
  2. Step 2: Convert to fraction form
    467.05/641.33 = 417.91/x
  3. Step 3: Cross multiply
    467.05x = 641.33 × 417.91
  4. Step 4: Simplify right side
    467.05x = 268,018.22
  5. Step 5: Solve for x
    x = 268,018.22/467.05
  6. Step 6: Final answer
    x = 573.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.