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Finding the Fourth Proportional to 465.80, 642.94 and 300.02

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Solution

The fourth proportional to 465.80, 642.94 and 300.02 is: 414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 642.94 = 300.02 : x
  2. Step 2: Convert to fraction form
    465.80/642.94 = 300.02/x
  3. Step 3: Cross multiply
    465.80x = 642.94 × 300.02
  4. Step 4: Simplify right side
    465.80x = 192,894.86
  5. Step 5: Solve for x
    x = 192,894.86/465.80
  6. Step 6: Final answer
    x = 414.12

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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.