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Finding the Fourth Proportional to 314.09, 432.83 and 209.06

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Solution

The fourth proportional to 314.09, 432.83 and 209.06 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.09 : 432.83 = 209.06 : x
  2. Step 2: Convert to fraction form
    314.09/432.83 = 209.06/x
  3. Step 3: Cross multiply
    314.09x = 432.83 × 209.06
  4. Step 4: Simplify right side
    314.09x = 90,485.80
  5. Step 5: Solve for x
    x = 90,485.80/314.09
  6. Step 6: Final answer
    x = 288.09

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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.