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Finding the Fourth Proportional to 885.40, 1,328.22 and 269.14

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Solution

The fourth proportional to 885.40, 1,328.22 and 269.14 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.40 : 1,328.22 = 269.14 : x
  2. Step 2: Convert to fraction form
    885.40/1,328.22 = 269.14/x
  3. Step 3: Cross multiply
    885.40x = 1,328.22 × 269.14
  4. Step 4: Simplify right side
    885.40x = 357,477.13
  5. Step 5: Solve for x
    x = 357,477.13/885.40
  6. Step 6: Final answer
    x = 403.75

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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.