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Finding the Fourth Proportional to 629.03, 866.01 and 496.01

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Solution

The fourth proportional to 629.03, 866.01 and 496.01 is: 682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.03 : 866.01 = 496.01 : x
  2. Step 2: Convert to fraction form
    629.03/866.01 = 496.01/x
  3. Step 3: Cross multiply
    629.03x = 866.01 × 496.01
  4. Step 4: Simplify right side
    629.03x = 429,549.62
  5. Step 5: Solve for x
    x = 429,549.62/629.03
  6. Step 6: Final answer
    x = 682.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.