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Finding the Fourth Proportional to 629.88, 944.64 and 341.16

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Solution

The fourth proportional to 629.88, 944.64 and 341.16 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 944.64 = 341.16 : x
  2. Step 2: Convert to fraction form
    629.88/944.64 = 341.16/x
  3. Step 3: Cross multiply
    629.88x = 944.64 × 341.16
  4. Step 4: Simplify right side
    629.88x = 322,273.38
  5. Step 5: Solve for x
    x = 322,273.38/629.88
  6. Step 6: Final answer
    x = 511.64

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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.