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Finding the Fourth Proportional to 359.11, 495.65 and 228.09

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Solution

The fourth proportional to 359.11, 495.65 and 228.09 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.11 : 495.65 = 228.09 : x
  2. Step 2: Convert to fraction form
    359.11/495.65 = 228.09/x
  3. Step 3: Cross multiply
    359.11x = 495.65 × 228.09
  4. Step 4: Simplify right side
    359.11x = 113,055.24
  5. Step 5: Solve for x
    x = 113,055.24/359.11
  6. Step 6: Final answer
    x = 314.82

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Why These Related Problems?

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