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Finding the Fourth Proportional to 672.41, 928.26 and 462.67

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Solution

The fourth proportional to 672.41, 928.26 and 462.67 is: 638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.41 : 928.26 = 462.67 : x
  2. Step 2: Convert to fraction form
    672.41/928.26 = 462.67/x
  3. Step 3: Cross multiply
    672.41x = 928.26 × 462.67
  4. Step 4: Simplify right side
    672.41x = 429,475.73
  5. Step 5: Solve for x
    x = 429,475.73/672.41
  6. Step 6: Final answer
    x = 638.71

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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.