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Finding the Fourth Proportional to 347.97, 522.41 and 245.30

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Solution

The fourth proportional to 347.97, 522.41 and 245.30 is: 368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.97 : 522.41 = 245.30 : x
  2. Step 2: Convert to fraction form
    347.97/522.41 = 245.30/x
  3. Step 3: Cross multiply
    347.97x = 522.41 × 245.30
  4. Step 4: Simplify right side
    347.97x = 128,147.17
  5. Step 5: Solve for x
    x = 128,147.17/347.97
  6. Step 6: Final answer
    x = 368.27

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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.