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Finding the Fourth Proportional to 407.36, 610.46 and 233.77

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Solution

The fourth proportional to 407.36, 610.46 and 233.77 is: 350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.36 : 610.46 = 233.77 : x
  2. Step 2: Convert to fraction form
    407.36/610.46 = 233.77/x
  3. Step 3: Cross multiply
    407.36x = 610.46 × 233.77
  4. Step 4: Simplify right side
    407.36x = 142,707.23
  5. Step 5: Solve for x
    x = 142,707.23/407.36
  6. Step 6: Final answer
    x = 350.32

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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.