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Finding the Fourth Proportional to 644.23, 965.02 and 435.35

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Solution

The fourth proportional to 644.23, 965.02 and 435.35 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.23 : 965.02 = 435.35 : x
  2. Step 2: Convert to fraction form
    644.23/965.02 = 435.35/x
  3. Step 3: Cross multiply
    644.23x = 965.02 × 435.35
  4. Step 4: Simplify right side
    644.23x = 420,121.46
  5. Step 5: Solve for x
    x = 420,121.46/644.23
  6. Step 6: Final answer
    x = 652.13

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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.