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Finding the Fourth Proportional to 405.22, 606.45 and 340.29

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Solution

The fourth proportional to 405.22, 606.45 and 340.29 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 606.45 = 340.29 : x
  2. Step 2: Convert to fraction form
    405.22/606.45 = 340.29/x
  3. Step 3: Cross multiply
    405.22x = 606.45 × 340.29
  4. Step 4: Simplify right side
    405.22x = 206,368.87
  5. Step 5: Solve for x
    x = 206,368.87/405.22
  6. Step 6: Final answer
    x = 509.28

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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.