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Finding the Fourth Proportional to 885.24, 1,326.96 and 398.16

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Solution

The fourth proportional to 885.24, 1,326.96 and 398.16 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.24 : 1,326.96 = 398.16 : x
  2. Step 2: Convert to fraction form
    885.24/1,326.96 = 398.16/x
  3. Step 3: Cross multiply
    885.24x = 1,326.96 × 398.16
  4. Step 4: Simplify right side
    885.24x = 528,342.39
  5. Step 5: Solve for x
    x = 528,342.39/885.24
  6. Step 6: Final answer
    x = 596.84

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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.