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Finding the Fourth Proportional to 651.62, 976.42 and 407.41

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Solution

The fourth proportional to 651.62, 976.42 and 407.41 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.62 : 976.42 = 407.41 : x
  2. Step 2: Convert to fraction form
    651.62/976.42 = 407.41/x
  3. Step 3: Cross multiply
    651.62x = 976.42 × 407.41
  4. Step 4: Simplify right side
    651.62x = 397,803.27
  5. Step 5: Solve for x
    x = 397,803.27/651.62
  6. Step 6: Final answer
    x = 610.48

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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.