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Finding the Fourth Proportional to 629.60, 943.71 and 282.45

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Solution

The fourth proportional to 629.60, 943.71 and 282.45 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.60 : 943.71 = 282.45 : x
  2. Step 2: Convert to fraction form
    629.60/943.71 = 282.45/x
  3. Step 3: Cross multiply
    629.60x = 943.71 × 282.45
  4. Step 4: Simplify right side
    629.60x = 266,550.89
  5. Step 5: Solve for x
    x = 266,550.89/629.60
  6. Step 6: Final answer
    x = 423.37

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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.