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Finding the Fourth Proportional to 644.05, 964.32 and 469.81

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Solution

The fourth proportional to 644.05, 964.32 and 469.81 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.05 : 964.32 = 469.81 : x
  2. Step 2: Convert to fraction form
    644.05/964.32 = 469.81/x
  3. Step 3: Cross multiply
    644.05x = 964.32 × 469.81
  4. Step 4: Simplify right side
    644.05x = 453,047.18
  5. Step 5: Solve for x
    x = 453,047.18/644.05
  6. Step 6: Final answer
    x = 703.43

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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.