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Finding the Fourth Proportional to 359.10, 495.67 and 209.77

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Solution

The fourth proportional to 359.10, 495.67 and 209.77 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 495.67 = 209.77 : x
  2. Step 2: Convert to fraction form
    359.10/495.67 = 209.77/x
  3. Step 3: Cross multiply
    359.10x = 495.67 × 209.77
  4. Step 4: Simplify right side
    359.10x = 103,976.70
  5. Step 5: Solve for x
    x = 103,976.70/359.10
  6. Step 6: Final answer
    x = 289.55

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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.