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Finding the Fourth Proportional to 557.04, 768.84 and 360.60

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Solution

The fourth proportional to 557.04, 768.84 and 360.60 is: 497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.04 : 768.84 = 360.60 : x
  2. Step 2: Convert to fraction form
    557.04/768.84 = 360.60/x
  3. Step 3: Cross multiply
    557.04x = 768.84 × 360.60
  4. Step 4: Simplify right side
    557.04x = 277,243.70
  5. Step 5: Solve for x
    x = 277,243.70/557.04
  6. Step 6: Final answer
    x = 497.71

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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.