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Finding the Fourth Proportional to 359.49, 495.61 and 259.88

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Solution

The fourth proportional to 359.49, 495.61 and 259.88 is: 358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.49 : 495.61 = 259.88 : x
  2. Step 2: Convert to fraction form
    359.49/495.61 = 259.88/x
  3. Step 3: Cross multiply
    359.49x = 495.61 × 259.88
  4. Step 4: Simplify right side
    359.49x = 128,796.68
  5. Step 5: Solve for x
    x = 128,796.68/359.49
  6. Step 6: Final answer
    x = 358.28

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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.