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Finding the Fourth Proportional to 629.58, 944.42 and 264.47

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Solution

The fourth proportional to 629.58, 944.42 and 264.47 is: 396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.58 : 944.42 = 264.47 : x
  2. Step 2: Convert to fraction form
    629.58/944.42 = 264.47/x
  3. Step 3: Cross multiply
    629.58x = 944.42 × 264.47
  4. Step 4: Simplify right side
    629.58x = 249,764.71
  5. Step 5: Solve for x
    x = 249,764.71/629.58
  6. Step 6: Final answer
    x = 396.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.