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Finding the Fourth Proportional to 884.29, 1,326.59 and 397.32

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Solution

The fourth proportional to 884.29, 1,326.59 and 397.32 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.29 : 1,326.59 = 397.32 : x
  2. Step 2: Convert to fraction form
    884.29/1,326.59 = 397.32/x
  3. Step 3: Cross multiply
    884.29x = 1,326.59 × 397.32
  4. Step 4: Simplify right side
    884.29x = 527,080.74
  5. Step 5: Solve for x
    x = 527,080.74/884.29
  6. Step 6: Final answer
    x = 596.05

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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.