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Finding the Fourth Proportional to 557.39, 768.82 and 360.85

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Solution

The fourth proportional to 557.39, 768.82 and 360.85 is: 497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.39 : 768.82 = 360.85 : x
  2. Step 2: Convert to fraction form
    557.39/768.82 = 360.85/x
  3. Step 3: Cross multiply
    557.39x = 768.82 × 360.85
  4. Step 4: Simplify right side
    557.39x = 277,428.70
  5. Step 5: Solve for x
    x = 277,428.70/557.39
  6. Step 6: Final answer
    x = 497.73

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1.5x scale

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.