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Finding the Fourth Proportional to 601.62, 902.28 and 406.52

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Solution

The fourth proportional to 601.62, 902.28 and 406.52 is: 609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 902.28 = 406.52 : x
  2. Step 2: Convert to fraction form
    601.62/902.28 = 406.52/x
  3. Step 3: Cross multiply
    601.62x = 902.28 × 406.52
  4. Step 4: Simplify right side
    601.62x = 366,794.87
  5. Step 5: Solve for x
    x = 366,794.87/601.62
  6. Step 6: Final answer
    x = 609.68

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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.