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Finding the Fourth Proportional to 556.73, 768.30 and 360.58

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Solution

The fourth proportional to 556.73, 768.30 and 360.58 is: 497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.73 : 768.30 = 360.58 : x
  2. Step 2: Convert to fraction form
    556.73/768.30 = 360.58/x
  3. Step 3: Cross multiply
    556.73x = 768.30 × 360.58
  4. Step 4: Simplify right side
    556.73x = 277,032.04
  5. Step 5: Solve for x
    x = 277,032.04/556.73
  6. Step 6: Final answer
    x = 497.61

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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.