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Finding the Fourth Proportional to 629.63, 944.51 and 304.75

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Solution

The fourth proportional to 629.63, 944.51 and 304.75 is: 457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 944.51 = 304.75 : x
  2. Step 2: Convert to fraction form
    629.63/944.51 = 304.75/x
  3. Step 3: Cross multiply
    629.63x = 944.51 × 304.75
  4. Step 4: Simplify right side
    629.63x = 287,839.42
  5. Step 5: Solve for x
    x = 287,839.42/629.63
  6. Step 6: Final answer
    x = 457.16

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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.