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Finding the Fourth Proportional to 346.46, 519.82 and 209.60

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Solution

The fourth proportional to 346.46, 519.82 and 209.60 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 519.82 = 209.60 : x
  2. Step 2: Convert to fraction form
    346.46/519.82 = 209.60/x
  3. Step 3: Cross multiply
    346.46x = 519.82 × 209.60
  4. Step 4: Simplify right side
    346.46x = 108,953.22
  5. Step 5: Solve for x
    x = 108,953.22/346.46
  6. Step 6: Final answer
    x = 314.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.