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Finding the Fourth Proportional to 377.06, 562.82 and 332.67

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Solution

The fourth proportional to 377.06, 562.82 and 332.67 is: 496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 562.82 = 332.67 : x
  2. Step 2: Convert to fraction form
    377.06/562.82 = 332.67/x
  3. Step 3: Cross multiply
    377.06x = 562.82 × 332.67
  4. Step 4: Simplify right side
    377.06x = 187,233.33
  5. Step 5: Solve for x
    x = 187,233.33/377.06
  6. Step 6: Final answer
    x = 496.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.