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Finding the Fourth Proportional to 884.82, 1,326.14 and 364.50

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Solution

The fourth proportional to 884.82, 1,326.14 and 364.50 is: 546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.82 : 1,326.14 = 364.50 : x
  2. Step 2: Convert to fraction form
    884.82/1,326.14 = 364.50/x
  3. Step 3: Cross multiply
    884.82x = 1,326.14 × 364.50
  4. Step 4: Simplify right side
    884.82x = 483,376.21
  5. Step 5: Solve for x
    x = 483,376.21/884.82
  6. Step 6: Final answer
    x = 546.30

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Why These Related Problems?

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