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Finding the Fourth Proportional to 601.63, 902.80 and 259.63

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Solution

The fourth proportional to 601.63, 902.80 and 259.63 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.63 : 902.80 = 259.63 : x
  2. Step 2: Convert to fraction form
    601.63/902.80 = 259.63/x
  3. Step 3: Cross multiply
    601.63x = 902.80 × 259.63
  4. Step 4: Simplify right side
    601.63x = 234,389.45
  5. Step 5: Solve for x
    x = 234,389.45/601.63
  6. Step 6: Final answer
    x = 389.59

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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.