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Finding the Fourth Proportional to 359.52, 495.94 and 210.17

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Solution

The fourth proportional to 359.52, 495.94 and 210.17 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 495.94 = 210.17 : x
  2. Step 2: Convert to fraction form
    359.52/495.94 = 210.17/x
  3. Step 3: Cross multiply
    359.52x = 495.94 × 210.17
  4. Step 4: Simplify right side
    359.52x = 104,231.71
  5. Step 5: Solve for x
    x = 104,231.71/359.52
  6. Step 6: Final answer
    x = 289.92

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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.