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Finding the Fourth Proportional to 340.54, 469.84 and 205.91

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Solution

The fourth proportional to 340.54, 469.84 and 205.91 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.54 : 469.84 = 205.91 : x
  2. Step 2: Convert to fraction form
    340.54/469.84 = 205.91/x
  3. Step 3: Cross multiply
    340.54x = 469.84 × 205.91
  4. Step 4: Simplify right side
    340.54x = 96,744.75
  5. Step 5: Solve for x
    x = 96,744.75/340.54
  6. Step 6: Final answer
    x = 284.09

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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.