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Finding the Fourth Proportional to 346.19, 519.08 and 209.15

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Solution

The fourth proportional to 346.19, 519.08 and 209.15 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.19 : 519.08 = 209.15 : x
  2. Step 2: Convert to fraction form
    346.19/519.08 = 209.15/x
  3. Step 3: Cross multiply
    346.19x = 519.08 × 209.15
  4. Step 4: Simplify right side
    346.19x = 108,563.89
  5. Step 5: Solve for x
    x = 108,563.89/346.19
  6. Step 6: Final answer
    x = 313.60

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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.