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Finding the Fourth Proportional to 629.34, 944.10 and 264.30

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Solution

The fourth proportional to 629.34, 944.10 and 264.30 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.34 : 944.10 = 264.30 : x
  2. Step 2: Convert to fraction form
    629.34/944.10 = 264.30/x
  3. Step 3: Cross multiply
    629.34x = 944.10 × 264.30
  4. Step 4: Simplify right side
    629.34x = 249,525.63
  5. Step 5: Solve for x
    x = 249,525.63/629.34
  6. Step 6: Final answer
    x = 396.49

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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.