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Finding the Fourth Proportional to 314.29, 433.50 and 209.32

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Solution

The fourth proportional to 314.29, 433.50 and 209.32 is: 288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.29 : 433.50 = 209.32 : x
  2. Step 2: Convert to fraction form
    314.29/433.50 = 209.32/x
  3. Step 3: Cross multiply
    314.29x = 433.50 × 209.32
  4. Step 4: Simplify right side
    314.29x = 90,740.22
  5. Step 5: Solve for x
    x = 90,740.22/314.29
  6. Step 6: Final answer
    x = 288.71

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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.