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Finding the Fourth Proportional to 405.08, 606.86 and 344.06

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Solution

The fourth proportional to 405.08, 606.86 and 344.06 is: 515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.08 : 606.86 = 344.06 : x
  2. Step 2: Convert to fraction form
    405.08/606.86 = 344.06/x
  3. Step 3: Cross multiply
    405.08x = 606.86 × 344.06
  4. Step 4: Simplify right side
    405.08x = 208,796.25
  5. Step 5: Solve for x
    x = 208,796.25/405.08
  6. Step 6: Final answer
    x = 515.44

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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.