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Finding the Fourth Proportional to 464.81, 641.93 and 290.25

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Solution

The fourth proportional to 464.81, 641.93 and 290.25 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 641.93 = 290.25 : x
  2. Step 2: Convert to fraction form
    464.81/641.93 = 290.25/x
  3. Step 3: Cross multiply
    464.81x = 641.93 × 290.25
  4. Step 4: Simplify right side
    464.81x = 186,318.73
  5. Step 5: Solve for x
    x = 186,318.73/464.81
  6. Step 6: Final answer
    x = 400.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.