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Finding the Fourth Proportional to 359.76, 496.26 and 228.54

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Solution

The fourth proportional to 359.76, 496.26 and 228.54 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.76 : 496.26 = 228.54 : x
  2. Step 2: Convert to fraction form
    359.76/496.26 = 228.54/x
  3. Step 3: Cross multiply
    359.76x = 496.26 × 228.54
  4. Step 4: Simplify right side
    359.76x = 113,415.26
  5. Step 5: Solve for x
    x = 113,415.26/359.76
  6. Step 6: Final answer
    x = 315.25

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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.