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Finding the Fourth Proportional to 347.90, 522.05 and 209.18

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Solution

The fourth proportional to 347.90, 522.05 and 209.18 is: 313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.90 : 522.05 = 209.18 : x
  2. Step 2: Convert to fraction form
    347.90/522.05 = 209.18/x
  3. Step 3: Cross multiply
    347.90x = 522.05 × 209.18
  4. Step 4: Simplify right side
    347.90x = 109,202.68
  5. Step 5: Solve for x
    x = 109,202.68/347.90
  6. Step 6: Final answer
    x = 313.90

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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.