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Finding the Fourth Proportional to 464.84, 641.21 and 290.28

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Solution

The fourth proportional to 464.84, 641.21 and 290.28 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.84 : 641.21 = 290.28 : x
  2. Step 2: Convert to fraction form
    464.84/641.21 = 290.28/x
  3. Step 3: Cross multiply
    464.84x = 641.21 × 290.28
  4. Step 4: Simplify right side
    464.84x = 186,130.44
  5. Step 5: Solve for x
    x = 186,130.44/464.84
  6. Step 6: Final answer
    x = 400.42

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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.