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Finding the Fourth Proportional to 380, 569.92 and 271.48

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Solution

The fourth proportional to 380, 569.92 and 271.48 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380 : 569.92 = 271.48 : x
  2. Step 2: Convert to fraction form
    380/569.92 = 271.48/x
  3. Step 3: Cross multiply
    380x = 569.92 × 271.48
  4. Step 4: Simplify right side
    380x = 154,721.88
  5. Step 5: Solve for x
    x = 154,721.88/380
  6. Step 6: Final answer
    x = 407.16

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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.