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Finding the Fourth Proportional to 601.62, 902.00 and 406.14

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Solution

The fourth proportional to 601.62, 902.00 and 406.14 is: 608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.62 : 902.00 = 406.14 : x
  2. Step 2: Convert to fraction form
    601.62/902.00 = 406.14/x
  3. Step 3: Cross multiply
    601.62x = 902.00 × 406.14
  4. Step 4: Simplify right side
    601.62x = 366,336.25
  5. Step 5: Solve for x
    x = 366,336.25/601.62
  6. Step 6: Final answer
    x = 608.92

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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.