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Finding the Fourth Proportional to 885.46, 1,328.03 and 398.42

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Solution

The fourth proportional to 885.46, 1,328.03 and 398.42 is: 597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.46 : 1,328.03 = 398.42 : x
  2. Step 2: Convert to fraction form
    885.46/1,328.03 = 398.42/x
  3. Step 3: Cross multiply
    885.46x = 1,328.03 × 398.42
  4. Step 4: Simplify right side
    885.46x = 529,111.72
  5. Step 5: Solve for x
    x = 529,111.72/885.46
  6. Step 6: Final answer
    x = 597.56

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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.