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Finding the Fourth Proportional to 359.32, 496.14 and 228.56

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Solution

The fourth proportional to 359.32, 496.14 and 228.56 is: 315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.32 : 496.14 = 228.56 : x
  2. Step 2: Convert to fraction form
    359.32/496.14 = 228.56/x
  3. Step 3: Cross multiply
    359.32x = 496.14 × 228.56
  4. Step 4: Simplify right side
    359.32x = 113,397.76
  5. Step 5: Solve for x
    x = 113,397.76/359.32
  6. Step 6: Final answer
    x = 315.59

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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.