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Finding the Fourth Proportional to 341.88, 513.06 and 264.90

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Solution

The fourth proportional to 341.88, 513.06 and 264.90 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.88 : 513.06 = 264.90 : x
  2. Step 2: Convert to fraction form
    341.88/513.06 = 264.90/x
  3. Step 3: Cross multiply
    341.88x = 513.06 × 264.90
  4. Step 4: Simplify right side
    341.88x = 135,909.59
  5. Step 5: Solve for x
    x = 135,909.59/341.88
  6. Step 6: Final answer
    x = 397.54

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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.