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Finding the Fourth Proportional to 886.48, 1,329.88 and 270.16

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Solution

The fourth proportional to 886.48, 1,329.88 and 270.16 is: 405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.48 : 1,329.88 = 270.16 : x
  2. Step 2: Convert to fraction form
    886.48/1,329.88 = 270.16/x
  3. Step 3: Cross multiply
    886.48x = 1,329.88 × 270.16
  4. Step 4: Simplify right side
    886.48x = 359,280.38
  5. Step 5: Solve for x
    x = 359,280.38/886.48
  6. Step 6: Final answer
    x = 405.29

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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.