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Finding the Fourth Proportional to 644.41, 965.53 and 424.77

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Solution

The fourth proportional to 644.41, 965.53 and 424.77 is: 636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.41 : 965.53 = 424.77 : x
  2. Step 2: Convert to fraction form
    644.41/965.53 = 424.77/x
  3. Step 3: Cross multiply
    644.41x = 965.53 × 424.77
  4. Step 4: Simplify right side
    644.41x = 410,128.18
  5. Step 5: Solve for x
    x = 410,128.18/644.41
  6. Step 6: Final answer
    x = 636.44

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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.