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Finding the Fourth Proportional to 557.29, 769.06 and 360.80

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Solution

The fourth proportional to 557.29, 769.06 and 360.80 is: 497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.29 : 769.06 = 360.80 : x
  2. Step 2: Convert to fraction form
    557.29/769.06 = 360.80/x
  3. Step 3: Cross multiply
    557.29x = 769.06 × 360.80
  4. Step 4: Simplify right side
    557.29x = 277,476.85
  5. Step 5: Solve for x
    x = 277,476.85/557.29
  6. Step 6: Final answer
    x = 497.90

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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.