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Finding the Fourth Proportional to 472.89, 709.32 and 130.89

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Solution

The fourth proportional to 472.89, 709.32 and 130.89 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.89 : 709.32 = 130.89 : x
  2. Step 2: Convert to fraction form
    472.89/709.32 = 130.89/x
  3. Step 3: Cross multiply
    472.89x = 709.32 × 130.89
  4. Step 4: Simplify right side
    472.89x = 92,842.89
  5. Step 5: Solve for x
    x = 92,842.89/472.89
  6. Step 6: Final answer
    x = 196.33

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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.