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Finding the Fourth Proportional to 941.30, 1,412.12 and 364.12

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Solution

The fourth proportional to 941.30, 1,412.12 and 364.12 is: 546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.30 : 1,412.12 = 364.12 : x
  2. Step 2: Convert to fraction form
    941.30/1,412.12 = 364.12/x
  3. Step 3: Cross multiply
    941.30x = 1,412.12 × 364.12
  4. Step 4: Simplify right side
    941.30x = 514,181.13
  5. Step 5: Solve for x
    x = 514,181.13/941.30
  6. Step 6: Final answer
    x = 546.25

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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.