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Finding the Fourth Proportional to 465.36, 642.24 and 258.40

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Solution

The fourth proportional to 465.36, 642.24 and 258.40 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.36 : 642.24 = 258.40 : x
  2. Step 2: Convert to fraction form
    465.36/642.24 = 258.40/x
  3. Step 3: Cross multiply
    465.36x = 642.24 × 258.40
  4. Step 4: Simplify right side
    465.36x = 165,954.82
  5. Step 5: Solve for x
    x = 165,954.82/465.36
  6. Step 6: Final answer
    x = 356.62

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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.