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Finding the Fourth Proportional to 346.41, 518.78 and 209.12

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Solution

The fourth proportional to 346.41, 518.78 and 209.12 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.41 : 518.78 = 209.12 : x
  2. Step 2: Convert to fraction form
    346.41/518.78 = 209.12/x
  3. Step 3: Cross multiply
    346.41x = 518.78 × 209.12
  4. Step 4: Simplify right side
    346.41x = 108,483.63
  5. Step 5: Solve for x
    x = 108,483.63/346.41
  6. Step 6: Final answer
    x = 313.17

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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.