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Finding the Fourth Proportional to 364.42, 547.17 and 357.94

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Solution

The fourth proportional to 364.42, 547.17 and 357.94 is: 537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.42 : 547.17 = 357.94 : x
  2. Step 2: Convert to fraction form
    364.42/547.17 = 357.94/x
  3. Step 3: Cross multiply
    364.42x = 547.17 × 357.94
  4. Step 4: Simplify right side
    364.42x = 195,854.03
  5. Step 5: Solve for x
    x = 195,854.03/364.42
  6. Step 6: Final answer
    x = 537.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.