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Finding the Fourth Proportional to 884.40, 1,326.24 and 397.32

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Solution

The fourth proportional to 884.40, 1,326.24 and 397.32 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,326.24 = 397.32 : x
  2. Step 2: Convert to fraction form
    884.40/1,326.24 = 397.32/x
  3. Step 3: Cross multiply
    884.40x = 1,326.24 × 397.32
  4. Step 4: Simplify right side
    884.40x = 526,941.68
  5. Step 5: Solve for x
    x = 526,941.68/884.40
  6. Step 6: Final answer
    x = 595.82

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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.