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Finding the Fourth Proportional to 629.52, 941.84 and 582.56

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Solution

The fourth proportional to 629.52, 941.84 and 582.56 is: 871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 941.84 = 582.56 : x
  2. Step 2: Convert to fraction form
    629.52/941.84 = 582.56/x
  3. Step 3: Cross multiply
    629.52x = 941.84 × 582.56
  4. Step 4: Simplify right side
    629.52x = 548,678.31
  5. Step 5: Solve for x
    x = 548,678.31/629.52
  6. Step 6: Final answer
    x = 871.58

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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.