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Finding the Fourth Proportional to 468.02, 701.49 and 306.02

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Solution

The fourth proportional to 468.02, 701.49 and 306.02 is: 458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 701.49 = 306.02 : x
  2. Step 2: Convert to fraction form
    468.02/701.49 = 306.02/x
  3. Step 3: Cross multiply
    468.02x = 701.49 × 306.02
  4. Step 4: Simplify right side
    468.02x = 214,669.97
  5. Step 5: Solve for x
    x = 214,669.97/468.02
  6. Step 6: Final answer
    x = 458.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.