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Finding the Fourth Proportional to 359.67, 495.71 and 289.95

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Solution

The fourth proportional to 359.67, 495.71 and 289.95 is: 399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.67 : 495.71 = 289.95 : x
  2. Step 2: Convert to fraction form
    359.67/495.71 = 289.95/x
  3. Step 3: Cross multiply
    359.67x = 495.71 × 289.95
  4. Step 4: Simplify right side
    359.67x = 143,729.66
  5. Step 5: Solve for x
    x = 143,729.66/359.67
  6. Step 6: Final answer
    x = 399.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.