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Finding the Fourth Proportional to 340.26, 469.36 and 209.24

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Solution

The fourth proportional to 340.26, 469.36 and 209.24 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 469.36 = 209.24 : x
  2. Step 2: Convert to fraction form
    340.26/469.36 = 209.24/x
  3. Step 3: Cross multiply
    340.26x = 469.36 × 209.24
  4. Step 4: Simplify right side
    340.26x = 98,208.89
  5. Step 5: Solve for x
    x = 98,208.89/340.26
  6. Step 6: Final answer
    x = 288.63

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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.