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Finding the Fourth Proportional to 404.59, 606.82 and 130.64

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Solution

The fourth proportional to 404.59, 606.82 and 130.64 is: 195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.59 : 606.82 = 130.64 : x
  2. Step 2: Convert to fraction form
    404.59/606.82 = 130.64/x
  3. Step 3: Cross multiply
    404.59x = 606.82 × 130.64
  4. Step 4: Simplify right side
    404.59x = 79,274.31
  5. Step 5: Solve for x
    x = 79,274.31/404.59
  6. Step 6: Final answer
    x = 195.94

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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.