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Finding the Fourth Proportional to 340.64, 470.08 and 209.56

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Solution

The fourth proportional to 340.64, 470.08 and 209.56 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.64 : 470.08 = 209.56 : x
  2. Step 2: Convert to fraction form
    340.64/470.08 = 209.56/x
  3. Step 3: Cross multiply
    340.64x = 470.08 × 209.56
  4. Step 4: Simplify right side
    340.64x = 98,509.96
  5. Step 5: Solve for x
    x = 98,509.96/340.64
  6. Step 6: Final answer
    x = 289.19

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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.