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Finding the Fourth Proportional to 885.54, 1,328.32 and 269.25

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Solution

The fourth proportional to 885.54, 1,328.32 and 269.25 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.54 : 1,328.32 = 269.25 : x
  2. Step 2: Convert to fraction form
    885.54/1,328.32 = 269.25/x
  3. Step 3: Cross multiply
    885.54x = 1,328.32 × 269.25
  4. Step 4: Simplify right side
    885.54x = 357,650.16
  5. Step 5: Solve for x
    x = 357,650.16/885.54
  6. Step 6: Final answer
    x = 403.88

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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.