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Finding the Fourth Proportional to 346.34, 519.60 and 209.42

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Solution

The fourth proportional to 346.34, 519.60 and 209.42 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.34 : 519.60 = 209.42 : x
  2. Step 2: Convert to fraction form
    346.34/519.60 = 209.42/x
  3. Step 3: Cross multiply
    346.34x = 519.60 × 209.42
  4. Step 4: Simplify right side
    346.34x = 108,814.63
  5. Step 5: Solve for x
    x = 108,814.63/346.34
  6. Step 6: Final answer
    x = 314.18

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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.