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Finding the Fourth Proportional to 885.47, 1,328.21 and 398.18

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Solution

The fourth proportional to 885.47, 1,328.21 and 398.18 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.47 : 1,328.21 = 398.18 : x
  2. Step 2: Convert to fraction form
    885.47/1,328.21 = 398.18/x
  3. Step 3: Cross multiply
    885.47x = 1,328.21 × 398.18
  4. Step 4: Simplify right side
    885.47x = 528,863.01
  5. Step 5: Solve for x
    x = 528,863.01/885.47
  6. Step 6: Final answer
    x = 597.27

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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.