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Finding the Fourth Proportional to 629.78, 868.82 and 430.38

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Solution

The fourth proportional to 629.78, 868.82 and 430.38 is: 593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.78 : 868.82 = 430.38 : x
  2. Step 2: Convert to fraction form
    629.78/868.82 = 430.38/x
  3. Step 3: Cross multiply
    629.78x = 868.82 × 430.38
  4. Step 4: Simplify right side
    629.78x = 373,920.60
  5. Step 5: Solve for x
    x = 373,920.60/629.78
  6. Step 6: Final answer
    x = 593.74

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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.