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Finding the Fourth Proportional to 451.68, 678.36 and 394.32

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Solution

The fourth proportional to 451.68, 678.36 and 394.32 is: 592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 678.36 = 394.32 : x
  2. Step 2: Convert to fraction form
    451.68/678.36 = 394.32/x
  3. Step 3: Cross multiply
    451.68x = 678.36 × 394.32
  4. Step 4: Simplify right side
    451.68x = 267,490.92
  5. Step 5: Solve for x
    x = 267,490.92/451.68
  6. Step 6: Final answer
    x = 592.21

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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.