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Finding the Fourth Proportional to 465.19, 641.75 and 299.34

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Solution

The fourth proportional to 465.19, 641.75 and 299.34 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 641.75 = 299.34 : x
  2. Step 2: Convert to fraction form
    465.19/641.75 = 299.34/x
  3. Step 3: Cross multiply
    465.19x = 641.75 × 299.34
  4. Step 4: Simplify right side
    465.19x = 192,101.45
  5. Step 5: Solve for x
    x = 192,101.45/465.19
  6. Step 6: Final answer
    x = 412.95

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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.