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Finding the Fourth Proportional to 494.14, 740.14 and 233.75

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Solution

The fourth proportional to 494.14, 740.14 and 233.75 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.14 : 740.14 = 233.75 : x
  2. Step 2: Convert to fraction form
    494.14/740.14 = 233.75/x
  3. Step 3: Cross multiply
    494.14x = 740.14 × 233.75
  4. Step 4: Simplify right side
    494.14x = 173,002.86
  5. Step 5: Solve for x
    x = 173,002.86/494.14
  6. Step 6: Final answer
    x = 350.11

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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.