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Finding the Fourth Proportional to 405.50, 606.97 and 340.58

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Solution

The fourth proportional to 405.50, 606.97 and 340.58 is: 509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.50 : 606.97 = 340.58 : x
  2. Step 2: Convert to fraction form
    405.50/606.97 = 340.58/x
  3. Step 3: Cross multiply
    405.50x = 606.97 × 340.58
  4. Step 4: Simplify right side
    405.50x = 206,721.84
  5. Step 5: Solve for x
    x = 206,721.84/405.50
  6. Step 6: Final answer
    x = 509.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.