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Finding the Fourth Proportional to 306.45, 459.68 and 75.34

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Solution

The fourth proportional to 306.45, 459.68 and 75.34 is: 113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.45 : 459.68 = 75.34 : x
  2. Step 2: Convert to fraction form
    306.45/459.68 = 75.34/x
  3. Step 3: Cross multiply
    306.45x = 459.68 × 75.34
  4. Step 4: Simplify right side
    306.45x = 34,632.29
  5. Step 5: Solve for x
    x = 34,632.29/306.45
  6. Step 6: Final answer
    x = 113.01

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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.