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Finding the Fourth Proportional to 474.53, 654.89 and 288.09

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Solution

The fourth proportional to 474.53, 654.89 and 288.09 is: 397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.53 : 654.89 = 288.09 : x
  2. Step 2: Convert to fraction form
    474.53/654.89 = 288.09/x
  3. Step 3: Cross multiply
    474.53x = 654.89 × 288.09
  4. Step 4: Simplify right side
    474.53x = 188,665.82
  5. Step 5: Solve for x
    x = 188,665.82/474.53
  6. Step 6: Final answer
    x = 397.59

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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.