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Finding the Fourth Proportional to 556.94, 768.57 and 360.79

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Solution

The fourth proportional to 556.94, 768.57 and 360.79 is: 497.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.94 : 768.57 = 360.79 : x
  2. Step 2: Convert to fraction form
    556.94/768.57 = 360.79/x
  3. Step 3: Cross multiply
    556.94x = 768.57 × 360.79
  4. Step 4: Simplify right side
    556.94x = 277,294.68
  5. Step 5: Solve for x
    x = 277,294.68/556.94
  6. Step 6: Final answer
    x = 497.89

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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.