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Finding the Fourth Proportional to 465.25, 642.05 and 258.25

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Solution

The fourth proportional to 465.25, 642.05 and 258.25 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.25 : 642.05 = 258.25 : x
  2. Step 2: Convert to fraction form
    465.25/642.05 = 258.25/x
  3. Step 3: Cross multiply
    465.25x = 642.05 × 258.25
  4. Step 4: Simplify right side
    465.25x = 165,809.41
  5. Step 5: Solve for x
    x = 165,809.41/465.25
  6. Step 6: Final answer
    x = 356.39

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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.