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Finding the Fourth Proportional to 446.01, 614.92 and 288.37

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Solution

The fourth proportional to 446.01, 614.92 and 288.37 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.01 : 614.92 = 288.37 : x
  2. Step 2: Convert to fraction form
    446.01/614.92 = 288.37/x
  3. Step 3: Cross multiply
    446.01x = 614.92 × 288.37
  4. Step 4: Simplify right side
    446.01x = 177,324.48
  5. Step 5: Solve for x
    x = 177,324.48/446.01
  6. Step 6: Final answer
    x = 397.58

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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.