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Finding the Fourth Proportional to 340.01, 468.98 and 209.09

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Solution

The fourth proportional to 340.01, 468.98 and 209.09 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.01 : 468.98 = 209.09 : x
  2. Step 2: Convert to fraction form
    340.01/468.98 = 209.09/x
  3. Step 3: Cross multiply
    340.01x = 468.98 × 209.09
  4. Step 4: Simplify right side
    340.01x = 98,059.03
  5. Step 5: Solve for x
    x = 98,059.03/340.01
  6. Step 6: Final answer
    x = 288.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.