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Finding the Fourth Proportional to 465.26, 642.23 and 288.25

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Solution

The fourth proportional to 465.26, 642.23 and 288.25 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.26 : 642.23 = 288.25 : x
  2. Step 2: Convert to fraction form
    465.26/642.23 = 288.25/x
  3. Step 3: Cross multiply
    465.26x = 642.23 × 288.25
  4. Step 4: Simplify right side
    465.26x = 185,122.64
  5. Step 5: Solve for x
    x = 185,122.64/465.26
  6. Step 6: Final answer
    x = 397.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.