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Finding the Fourth Proportional to 465.57, 642.67 and 299.99

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Solution

The fourth proportional to 465.57, 642.67 and 299.99 is: 414.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 642.67 = 299.99 : x
  2. Step 2: Convert to fraction form
    465.57/642.67 = 299.99/x
  3. Step 3: Cross multiply
    465.57x = 642.67 × 299.99
  4. Step 4: Simplify right side
    465.57x = 192,794.57
  5. Step 5: Solve for x
    x = 192,794.57/465.57
  6. Step 6: Final answer
    x = 414.11

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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.