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Finding the Fourth Proportional to 306.83, 459.63 and 306.83

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Solution

The fourth proportional to 306.83, 459.63 and 306.83 is: 459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.83 : 459.63 = 306.83 : x
  2. Step 2: Convert to fraction form
    306.83/459.63 = 306.83/x
  3. Step 3: Cross multiply
    306.83x = 459.63 × 306.83
  4. Step 4: Simplify right side
    306.83x = 141,029.42
  5. Step 5: Solve for x
    x = 141,029.42/306.83
  6. Step 6: Final answer
    x = 459.63

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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.