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Finding the Fourth Proportional to 556.87, 768.72 and 360.70

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Solution

The fourth proportional to 556.87, 768.72 and 360.70 is: 497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.87 : 768.72 = 360.70 : x
  2. Step 2: Convert to fraction form
    556.87/768.72 = 360.70/x
  3. Step 3: Cross multiply
    556.87x = 768.72 × 360.70
  4. Step 4: Simplify right side
    556.87x = 277,277.30
  5. Step 5: Solve for x
    x = 277,277.30/556.87
  6. Step 6: Final answer
    x = 497.92

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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.