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Finding the Fourth Proportional to 883.64, 1,326.08 and 364.11

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Solution

The fourth proportional to 883.64, 1,326.08 and 364.11 is: 546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.64 : 1,326.08 = 364.11 : x
  2. Step 2: Convert to fraction form
    883.64/1,326.08 = 364.11/x
  3. Step 3: Cross multiply
    883.64x = 1,326.08 × 364.11
  4. Step 4: Simplify right side
    883.64x = 482,842.39
  5. Step 5: Solve for x
    x = 482,842.39/883.64
  6. Step 6: Final answer
    x = 546.42

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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.