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Finding the Fourth Proportional to 461.50, 691.21 and 278.67

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Solution

The fourth proportional to 461.50, 691.21 and 278.67 is: 417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 691.21 = 278.67 : x
  2. Step 2: Convert to fraction form
    461.50/691.21 = 278.67/x
  3. Step 3: Cross multiply
    461.50x = 691.21 × 278.67
  4. Step 4: Simplify right side
    461.50x = 192,619.49
  5. Step 5: Solve for x
    x = 192,619.49/461.50
  6. Step 6: Final answer
    x = 417.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.