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Finding the Fourth Proportional to 601.61, 902.26 and 406.51

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Solution

The fourth proportional to 601.61, 902.26 and 406.51 is: 609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.61 : 902.26 = 406.51 : x
  2. Step 2: Convert to fraction form
    601.61/902.26 = 406.51/x
  3. Step 3: Cross multiply
    601.61x = 902.26 × 406.51
  4. Step 4: Simplify right side
    601.61x = 366,777.71
  5. Step 5: Solve for x
    x = 366,777.71/601.61
  6. Step 6: Final answer
    x = 609.66

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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.