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Finding the Fourth Proportional to 629.16, 943.89 and 282.57

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Solution

The fourth proportional to 629.16, 943.89 and 282.57 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.16 : 943.89 = 282.57 : x
  2. Step 2: Convert to fraction form
    629.16/943.89 = 282.57/x
  3. Step 3: Cross multiply
    629.16x = 943.89 × 282.57
  4. Step 4: Simplify right side
    629.16x = 266,715.00
  5. Step 5: Solve for x
    x = 266,715.00/629.16
  6. Step 6: Final answer
    x = 423.92

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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.