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Finding the Fourth Proportional to 407.10, 610.16 and 233.89

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Solution

The fourth proportional to 407.10, 610.16 and 233.89 is: 350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.10 : 610.16 = 233.89 : x
  2. Step 2: Convert to fraction form
    407.10/610.16 = 233.89/x
  3. Step 3: Cross multiply
    407.10x = 610.16 × 233.89
  4. Step 4: Simplify right side
    407.10x = 142,709.38
  5. Step 5: Solve for x
    x = 142,709.38/407.10
  6. Step 6: Final answer
    x = 350.55

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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.