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Finding the Fourth Proportional to 465.76, 642.92 and 300.28

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Solution

The fourth proportional to 465.76, 642.92 and 300.28 is: 414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 642.92 = 300.28 : x
  2. Step 2: Convert to fraction form
    465.76/642.92 = 300.28/x
  3. Step 3: Cross multiply
    465.76x = 642.92 × 300.28
  4. Step 4: Simplify right side
    465.76x = 193,056.02
  5. Step 5: Solve for x
    x = 193,056.02/465.76
  6. Step 6: Final answer
    x = 414.50

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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.