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Finding the Fourth Proportional to 407.40, 610.34 and 349.31

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Solution

The fourth proportional to 407.40, 610.34 and 349.31 is: 523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 610.34 = 349.31 : x
  2. Step 2: Convert to fraction form
    407.40/610.34 = 349.31/x
  3. Step 3: Cross multiply
    407.40x = 610.34 × 349.31
  4. Step 4: Simplify right side
    407.40x = 213,193.07
  5. Step 5: Solve for x
    x = 213,193.07/407.40
  6. Step 6: Final answer
    x = 523.30

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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.