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Finding the Fourth Proportional to 629.65, 946.52 and 387.71

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Solution

The fourth proportional to 629.65, 946.52 and 387.71 is: 582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.65 : 946.52 = 387.71 : x
  2. Step 2: Convert to fraction form
    629.65/946.52 = 387.71/x
  3. Step 3: Cross multiply
    629.65x = 946.52 × 387.71
  4. Step 4: Simplify right side
    629.65x = 366,973.60
  5. Step 5: Solve for x
    x = 366,973.60/629.65
  6. Step 6: Final answer
    x = 582.82

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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.