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Finding the Fourth Proportional to 653.45, 979.89 and 306.89

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Solution

The fourth proportional to 653.45, 979.89 and 306.89 is: 460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.45 : 979.89 = 306.89 : x
  2. Step 2: Convert to fraction form
    653.45/979.89 = 306.89/x
  3. Step 3: Cross multiply
    653.45x = 979.89 × 306.89
  4. Step 4: Simplify right side
    653.45x = 300,713.93
  5. Step 5: Solve for x
    x = 300,713.93/653.45
  6. Step 6: Final answer
    x = 460.19

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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.