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Finding the Fourth Proportional to 306.60, 458.55 and 233.70

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Solution

The fourth proportional to 306.60, 458.55 and 233.70 is: 349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 458.55 = 233.70 : x
  2. Step 2: Convert to fraction form
    306.60/458.55 = 233.70/x
  3. Step 3: Cross multiply
    306.60x = 458.55 × 233.70
  4. Step 4: Simplify right side
    306.60x = 107,163.14
  5. Step 5: Solve for x
    x = 107,163.14/306.60
  6. Step 6: Final answer
    x = 349.52

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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.