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Finding the Fourth Proportional to 347.19, 519.74 and 209.82

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Solution

The fourth proportional to 347.19, 519.74 and 209.82 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.19 : 519.74 = 209.82 : x
  2. Step 2: Convert to fraction form
    347.19/519.74 = 209.82/x
  3. Step 3: Cross multiply
    347.19x = 519.74 × 209.82
  4. Step 4: Simplify right side
    347.19x = 109,051.79
  5. Step 5: Solve for x
    x = 109,051.79/347.19
  6. Step 6: Final answer
    x = 314.10

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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.