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Finding the Fourth Proportional to 456.28, 684.46 and 378.76

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Solution

The fourth proportional to 456.28, 684.46 and 378.76 is: 568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.28 : 684.46 = 378.76 : x
  2. Step 2: Convert to fraction form
    456.28/684.46 = 378.76/x
  3. Step 3: Cross multiply
    456.28x = 684.46 × 378.76
  4. Step 4: Simplify right side
    456.28x = 259,246.07
  5. Step 5: Solve for x
    x = 259,246.07/456.28
  6. Step 6: Final answer
    x = 568.17

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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.