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Finding the Fourth Proportional to 557.10, 768.53 and 360.67

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Solution

The fourth proportional to 557.10, 768.53 and 360.67 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 768.53 = 360.67 : x
  2. Step 2: Convert to fraction form
    557.10/768.53 = 360.67/x
  3. Step 3: Cross multiply
    557.10x = 768.53 × 360.67
  4. Step 4: Simplify right side
    557.10x = 277,185.72
  5. Step 5: Solve for x
    x = 277,185.72/557.10
  6. Step 6: Final answer
    x = 497.55

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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.