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Finding the Fourth Proportional to 651.74, 977.43 and 281.67

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Solution

The fourth proportional to 651.74, 977.43 and 281.67 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.74 : 977.43 = 281.67 : x
  2. Step 2: Convert to fraction form
    651.74/977.43 = 281.67/x
  3. Step 3: Cross multiply
    651.74x = 977.43 × 281.67
  4. Step 4: Simplify right side
    651.74x = 275,314.61
  5. Step 5: Solve for x
    x = 275,314.61/651.74
  6. Step 6: Final answer
    x = 422.43

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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.