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Finding the Fourth Proportional to 653.37, 979.90 and 306.94

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Solution

The fourth proportional to 653.37, 979.90 and 306.94 is: 460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 979.90 = 306.94 : x
  2. Step 2: Convert to fraction form
    653.37/979.90 = 306.94/x
  3. Step 3: Cross multiply
    653.37x = 979.90 × 306.94
  4. Step 4: Simplify right side
    653.37x = 300,770.51
  5. Step 5: Solve for x
    x = 300,770.51/653.37
  6. Step 6: Final answer
    x = 460.34

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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.