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Finding the Fourth Proportional to 468.28, 703.89 and 306.99

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Solution

The fourth proportional to 468.28, 703.89 and 306.99 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 703.89 = 306.99 : x
  2. Step 2: Convert to fraction form
    468.28/703.89 = 306.99/x
  3. Step 3: Cross multiply
    468.28x = 703.89 × 306.99
  4. Step 4: Simplify right side
    468.28x = 216,087.19
  5. Step 5: Solve for x
    x = 216,087.19/468.28
  6. Step 6: Final answer
    x = 461.45

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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.