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Finding the Fourth Proportional to 364.53, 547.08 and 262.05

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Solution

The fourth proportional to 364.53, 547.08 and 262.05 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.53 : 547.08 = 262.05 : x
  2. Step 2: Convert to fraction form
    364.53/547.08 = 262.05/x
  3. Step 3: Cross multiply
    364.53x = 547.08 × 262.05
  4. Step 4: Simplify right side
    364.53x = 143,362.31
  5. Step 5: Solve for x
    x = 143,362.31/364.53
  6. Step 6: Final answer
    x = 393.28

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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.