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Finding the Fourth Proportional to 651.85, 977.67 and 240.98

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Solution

The fourth proportional to 651.85, 977.67 and 240.98 is: 361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.85 : 977.67 = 240.98 : x
  2. Step 2: Convert to fraction form
    651.85/977.67 = 240.98/x
  3. Step 3: Cross multiply
    651.85x = 977.67 × 240.98
  4. Step 4: Simplify right side
    651.85x = 235,594.03
  5. Step 5: Solve for x
    x = 235,594.03/651.85
  6. Step 6: Final answer
    x = 361.43

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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.