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Finding the Fourth Proportional to 634.41, 952.10 and 440.77

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Solution

The fourth proportional to 634.41, 952.10 and 440.77 is: 661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 952.10 = 440.77 : x
  2. Step 2: Convert to fraction form
    634.41/952.10 = 440.77/x
  3. Step 3: Cross multiply
    634.41x = 952.10 × 440.77
  4. Step 4: Simplify right side
    634.41x = 419,655.84
  5. Step 5: Solve for x
    x = 419,655.84/634.41
  6. Step 6: Final answer
    x = 661.49

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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.