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Finding the Fourth Proportional to 885.69, 1,328.02 and 269.21

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Solution

The fourth proportional to 885.69, 1,328.02 and 269.21 is: 403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.69 : 1,328.02 = 269.21 : x
  2. Step 2: Convert to fraction form
    885.69/1,328.02 = 269.21/x
  3. Step 3: Cross multiply
    885.69x = 1,328.02 × 269.21
  4. Step 4: Simplify right side
    885.69x = 357,516.26
  5. Step 5: Solve for x
    x = 357,516.26/885.69
  6. Step 6: Final answer
    x = 403.66

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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.