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Finding the Fourth Proportional to 359.28, 496 and 228.32

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Solution

The fourth proportional to 359.28, 496 and 228.32 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 496 = 228.32 : x
  2. Step 2: Convert to fraction form
    359.28/496 = 228.32/x
  3. Step 3: Cross multiply
    359.28x = 496 × 228.32
  4. Step 4: Simplify right side
    359.28x = 113,246.72
  5. Step 5: Solve for x
    x = 113,246.72/359.28
  6. Step 6: Final answer
    x = 315.20

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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.