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Finding the Fourth Proportional to 341.28, 510.48 and 272.28

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Solution

The fourth proportional to 341.28, 510.48 and 272.28 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 510.48 = 272.28 : x
  2. Step 2: Convert to fraction form
    341.28/510.48 = 272.28/x
  3. Step 3: Cross multiply
    341.28x = 510.48 × 272.28
  4. Step 4: Simplify right side
    341.28x = 138,993.49
  5. Step 5: Solve for x
    x = 138,993.49/341.28
  6. Step 6: Final answer
    x = 407.27

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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.