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Finding the Fourth Proportional to 465.23, 697.20 and 259.49

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Solution

The fourth proportional to 465.23, 697.20 and 259.49 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 697.20 = 259.49 : x
  2. Step 2: Convert to fraction form
    465.23/697.20 = 259.49/x
  3. Step 3: Cross multiply
    465.23x = 697.20 × 259.49
  4. Step 4: Simplify right side
    465.23x = 180,916.43
  5. Step 5: Solve for x
    x = 180,916.43/465.23
  6. Step 6: Final answer
    x = 388.88

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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.