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Finding the Fourth Proportional to 651.14, 976.72 and 361.70

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Solution

The fourth proportional to 651.14, 976.72 and 361.70 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 976.72 = 361.70 : x
  2. Step 2: Convert to fraction form
    651.14/976.72 = 361.70/x
  3. Step 3: Cross multiply
    651.14x = 976.72 × 361.70
  4. Step 4: Simplify right side
    651.14x = 353,279.62
  5. Step 5: Solve for x
    x = 353,279.62/651.14
  6. Step 6: Final answer
    x = 542.56

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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.