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Finding the Fourth Proportional to 364.28, 543.35 and 305.82

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Solution

The fourth proportional to 364.28, 543.35 and 305.82 is: 456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.28 : 543.35 = 305.82 : x
  2. Step 2: Convert to fraction form
    364.28/543.35 = 305.82/x
  3. Step 3: Cross multiply
    364.28x = 543.35 × 305.82
  4. Step 4: Simplify right side
    364.28x = 166,167.30
  5. Step 5: Solve for x
    x = 166,167.30/364.28
  6. Step 6: Final answer
    x = 456.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.