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Finding the Fourth Proportional to 340.54, 470.02 and 209.64

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Solution

The fourth proportional to 340.54, 470.02 and 209.64 is: 289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 470.02 = 209.64 : x
  2. Step 2: Convert to fraction form
    340.54/470.02 = 209.64/x
  3. Step 3: Cross multiply
    340.54x = 470.02 × 209.64
  4. Step 4: Simplify right side
    340.54x = 98,534.99
  5. Step 5: Solve for x
    x = 98,534.99/340.54
  6. Step 6: Final answer
    x = 289.35

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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.