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Finding the Fourth Proportional to 341.36, 511.40 and 254.64

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Solution

The fourth proportional to 341.36, 511.40 and 254.64 is: 381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.36 : 511.40 = 254.64 : x
  2. Step 2: Convert to fraction form
    341.36/511.40 = 254.64/x
  3. Step 3: Cross multiply
    341.36x = 511.40 × 254.64
  4. Step 4: Simplify right side
    341.36x = 130,222.90
  5. Step 5: Solve for x
    x = 130,222.90/341.36
  6. Step 6: Final answer
    x = 381.48

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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.