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Finding the Fourth Proportional to 417.06, 575.73 and 277.43

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Solution

The fourth proportional to 417.06, 575.73 and 277.43 is: 382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 575.73 = 277.43 : x
  2. Step 2: Convert to fraction form
    417.06/575.73 = 277.43/x
  3. Step 3: Cross multiply
    417.06x = 575.73 × 277.43
  4. Step 4: Simplify right side
    417.06x = 159,721.90
  5. Step 5: Solve for x
    x = 159,721.90/417.06
  6. Step 6: Final answer
    x = 382.97

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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.