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Finding the Fourth Proportional to 407.60, 610.34 and 270.23

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Solution

The fourth proportional to 407.60, 610.34 and 270.23 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 610.34 = 270.23 : x
  2. Step 2: Convert to fraction form
    407.60/610.34 = 270.23/x
  3. Step 3: Cross multiply
    407.60x = 610.34 × 270.23
  4. Step 4: Simplify right side
    407.60x = 164,927.78
  5. Step 5: Solve for x
    x = 164,927.78/407.60
  6. Step 6: Final answer
    x = 404.64

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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.