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Finding the Fourth Proportional to 557.33, 768.78 and 360.83

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Solution

The fourth proportional to 557.33, 768.78 and 360.83 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.33 : 768.78 = 360.83 : x
  2. Step 2: Convert to fraction form
    557.33/768.78 = 360.83/x
  3. Step 3: Cross multiply
    557.33x = 768.78 × 360.83
  4. Step 4: Simplify right side
    557.33x = 277,400.81
  5. Step 5: Solve for x
    x = 277,400.81/557.33
  6. Step 6: Final answer
    x = 497.74

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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.