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Finding the Fourth Proportional to 306.81, 459.27 and 257.79

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Solution

The fourth proportional to 306.81, 459.27 and 257.79 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 459.27 = 257.79 : x
  2. Step 2: Convert to fraction form
    306.81/459.27 = 257.79/x
  3. Step 3: Cross multiply
    306.81x = 459.27 × 257.79
  4. Step 4: Simplify right side
    306.81x = 118,395.21
  5. Step 5: Solve for x
    x = 118,395.21/306.81
  6. Step 6: Final answer
    x = 385.89

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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.